8. Write the equation of the line in slope-intercept form that has:
points: (3, 5) and (-1,-3)

Answers

Answer 1

Answer:

Step-by-step explanation:

y = mx + b Calculate the slope, m, from the given point values, solve for b by using one of the point values, and check your solution using the other point values.

A line can be thought of as the ratio of the change between horizontal (x) and vertical (y) positions. Thus, for any two points defined by Cartesian (planar) coordinates such as those given in this problem, you simply set up the two changes (differences) and then make the ratio to obtain the slope, m.

Vertical difference “y”  = y 2 – y 1 = − 5 – 1 = − 6  

Horizontal difference “x” = x 2 – x 1 = − 2 – − 3 = 1

Ratio = “rise over run”, or vertical over horizontal = ( − 6 1 ) = − 6  for the slope, m.  

A line has the general form of y = mx + b, or vertical position is the product of the slope and horizontal position, x, plus the point where the line crosses (intercepts) the x-axis (the line where z is always zero.) So, once you have calculated the slope you can put any of the two points known into the equation, leaving us with only the intercept 'b' unknown.

1 = ( − 6 ) ⋅ ( − 3 ) + b ; 1 = 18 + b ; 1 – 18 = b ; − 17 = b

Thus the final equation is  y = − 6 ⋅ x − 17

We then check this by substituting the other known point into the equation:

− 5 = ( − 6 ) ⋅ ( − 2 ) − 17 ; − 5 = 12 − 17 ; 5 = − 5


Related Questions

HELP ASAP WILL GIVE 15 points
Choose the function that includes the given points.

Answers

Answer:

Top Right

Step-by-step explanation:

all the brackets are in the form (X, Y), Y=P(x)

just replace the X's in the brackets with the X's in the Options, if P(x) is the number that's in place of Y in the brackets, then that option is the correct one, in this case the top Right one. if this helped, please mark as brainliest

Answer:

Top right/second answer is correct

Step-by-step explanation:

I did it

Please help ! For geometry

Answers

7x+1+18x+4=180
25x+5=180
25x=175
x=7
7(7)+1=50
Angle 2 is 50 degrees :)

Answer:

50°

Step-by-step explanation:

(7x+1)+(18x+4)=180

x=7

can someone help me with this i am so confused

Answers

Answer:

HGI = 30

b/ce they are Vertically opposite angles

JGH = FGI

Answer:

1: Angle HGI is 30 degrees, Angle FGI is the same as JGH

Hope that helps. Brainliest is appreciated if it did!

what is 4+4

This is for
ThomasBrennan1

Answers

Answer:

8

Step-by-step explanation:

1+1+1+1+1+1+1+1=8

take 4 ones and group them into 2 groups gives you 8

30 POINTS, WILL GIVE BRAINLIEST IF ONLY RIGHT
Which of these expressions is equivalent to log 200?

A) 2 + log 2
B) 2 + log 20
C) log 50 + log 150
D) log 250 – log 50

Answers

Answer:

ITS A ITS A ITS A

ANSWER = A

Step-by-step explanation:

Can some please write my knowns and unknowns for this question

Answers

Answer:

Knowns:

initial velocity (v₀) = 0

final velocity (v₁) = 100 km/h

acceleration (a) = 9.00 m/s²

Unknowns: how long the acceleration took (Δt) = ?

Step-by-step explanation:

Use one of the kinematics equations to find what you're looking for.

This equation with a little algebra should help

v₁ = v₀ + aΔt


Pls help will mark the brainiest

Answers

I’m pretty sure it’s answer a!


[tex]8.0 \times {10}^{ - 5} \times 10000[/tex]
what would be the result​

Answers

the answer would be 0.8

HELP!!!
Jacob and Paul are playing a game of cards. After the first round, Jacob said that Paul's score would be twice his own score if he earned 7 more points.
Paul responded to Jacob by telling him his score was only 6 points higher then Jacobs.
PART A. write a system of equations to represent each of the boys statements. Be sure to specify what your variables represent.
PART B. If they both are correct. How many points did each if the boys score??

MY LAST POST GOT REMOVED PLS HELP I NEED THIS DONE TODAY!!

Answers

Interpreting the situation, we have that:

a) The system of equations is:

[tex]y = 2x - 7[/tex]

[tex]y = 6 + x[/tex]

b) Solving the above system, it is found that Jacob scored 13 and Paul scored 19.

Item a:

In our system, we have that:

Jacob's score is of x.Paul's score is of y.

Jacob said that Paul's score would be twice his own score if he earned 7 more points, which means that:

[tex]y + 7 = 2x[/tex]

[tex]y = 2x - 7[/tex]

Paul responded to Jacob by telling him his score was only 6 points higher then Jacob's, which means that:

[tex]y = 6 + x[/tex]

Item b:

Equaling both equations:

[tex]2x - 7 = 6 + x[/tex]

[tex]x = 13[/tex]

[tex]y = 6 + x = 6 + 13 = 19[/tex]

Jacob scored 13 and Paul scored 19.

A similar problem is given at https://brainly.com/question/24104709

I need to know what the answer is plz help

Answers

What’s the question ?
could you say the question i cant answer it?

Help please i beg you (;´༎ຶٹ༎ຶ`)

Answers

Answer:

A and D

Step-by-step explanation:

A. True, 7² = 49B. False, 100² = 10000, shown 1000C. False, (7/8)² = 49/64, shown 14/8D. True, 0.1² = 0.01

Jane bought a shirt for $27, a skirt for $32, and a pair of shorts for $14. Choose the answer that is the best estimate for the total cost of these items.

Answers

Answer:

70

The answer is 70

PLEASE HELP DUE IN 10 MINUTES HURRY!!!!!
Find two points from this graph below. Then determine what the slope is.

Answers

Answer:

5/3

Step-by-step explanation:

(-2,-5) and (1,0)

using the slope formula you get your answer


8) A negative minus a negative will always, sometimes, never) be positive.
Give an example that proves your answer:
.

Answers

Poop is in a diaper diaper and

A rocket needs to reach a speed of 28,300 km/hr in order to get into orbit around Earth. How fast is this in miles per second.

Answers

Answer:

Step-by-step explanation:

1 km = 0. 621371 miles

28,300 km = 28,300* 0. 621371 miles = 17,584.7993 miles

1 hour = 60 *60 seconds  = 3,600 seconds

speed of 28,300 km/hr =

17,584.7993 miles / 3,600 seconds ≈ 4.88 miles / second

What is the vertex of the graph of f(x) = 4(x+5)²-1?​

Answers

Answer:

The vertex is (-5,-1)

Step-by-step explanation:

f(x) = 4(x+5)²-1

This is written in vertex form

y = a(x-h)^2 +k  where ( h,k) is the vertex

f(x) = 4(x- -5)²-1

H is -5 and k = -1

The vertex is (-5,-1)

The vertex is (-5,-1)

b(n)=−4−2(n−1)

find the 12th term in the sequence.

Answers

Answer:

-18

Step-by-step explanation:

b(12) = 4 - 2(12-1)

= 4 - 2(11)

= 4 - 22

= -18

verify it as fast as you can​

Answers

Answer:

(a+6)²

by identity (a+b)²=a²+2ab+b²

(a+6)²= a²+ 2×a×6 + 6²

= a²+ 12a + 36

(2a)²+5a = 4a²+5a

determines by estimate which answer is best.

635•0,67

125 225 325 425

Answers

Answer:

2

Step-by-step explanation:

2

PLS HELP IVE BEEN STRUGGLING WITH THIS TOPIC TYSM ILL MARK BRAINLIEST

Answers

Answer:

The answer would be 32

Step-by-step explanation:

equation would be: 6+2(12+1)

which then turns into 6+24+2

which equals 32

Answer:

32

Step-by-step explanation:

Since a = 3, b = 4, and c = -1

The Equation is:

= 2 × (3) + 2 × [(3) × (4) - (-1)]

= 6 + 2 × [12 - (-1)]

= 6 + 2 × (12 + 1)

= 6 + 2 × 13

= 6 + 26

= 32

Two rectangles have the same width. The length of one is 1 foot longer than the width. The length of the other is 2 feet longer than the width. The larger rectangle has 5 more square feet than the smaller. What is the width of the rectangles?

Answers

Answer:

Both Rectangles have a width of 4

Step-by-step explanation:

which two ratios represent quantities that are proportional?

A. 3/5 and 13/10
B. 18/48 and 21/56
C. 20/28 and 15/18
D. 7/10 and 10/7

Answers

Answer:

B. 18/48 and 21/56

C. 20/28 and 15/18

Step-by-step explanation:

Simplifying 18/48 = 3/8

Simplifying 21/56 = 3/8

Simplifying 20/ 28= 5/7

Simplifying 15/18 = 5/7

Answer:

18/48 and 21/56

Step-by-step explanation:

plato

Valeria has been training for the Charlestown cruisers bike race. The first week she trained, she rode 5 days and took the same two routes each day. She rode and 8 mile route each morning and longer route each evening. By the end of the week, she had ridden a total of 115 miles. How many miles did valeria ride each evening

Answers

The number of miles covered every evening obtujwd using a system of equation is 15 miles.

Let the number of miles per evening = m

Number of days = 5

Number of miles per morning = 8 miles

Total miles covered = 115 miles

Using the expression below :

Number of days(miles per morning + miles per evening) = 115 miles

5(8 + m) = 115

40 + 5m = 115

5m = 115 - 40

5m = 75

m = 75 / 5

m = 15 miles

Therefore, the Number of miles covered per evening is 15 miles.

Learn more : https://brainly.com/question/18796573

Which equation represents a line parallel to 3x − 8y = 12?

Answers

Answer: I don’t know the choices, but a line parallel to that equation must have a slope of 3/8 when simplified into slope-intercept form.

Slope-intercept form: y = mx + b

Solving:
3x - 8y = 12
-8y = -3x + 12
y = 3/8x - 1 1/2

The equation that is parallel to 3x − 8y = 12 is y = (3/8)x - 4 so option (A) is correct.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given equation,

3x − 8y = 12

3x - 12 = 8y

y = (3/8)x - 12/8

By comparing y = mx + c

Slope m = 3/8

The parallel lines have the same slope thus y = (3/8)x - 4 will have the same slope of 3/8 so it will be parallel.

Hence "The equation that is parallel to 3x − 8y = 12 is y = (3/8)x - 4".

For more about the linear function,

brainly.com/question/21107621

#SPJ2

The complete question is below,

Which equation represents a line parallel to 3x-8y=12

A. y=3/8x-4

B. y=-3/8x-4

C. y=8/3x-4

D. y=-8/3x-4​

which expression uses the distributive property to represent the sum of 28+42

Answers

Answer:

(2 x 14) + (3 x 14) = 5 x 14 = 70

Answer:

14(2 + 3)

Step-by-step explanation:

28 = 2 x 2 x 7

42 = 2 x 3 x 7

The HCF of 28 and 42 is given by 2 x 7 = 14

Someone help me I will mark you as brain

Answers

Step-by-step explanation:

that is really, really simple.

h(-3) means that we put the argument (-3) into the formula of the function everywhere where there is x.

h(x) = -3x - 10

so,

h(-3) = -3×-3 - 10 = 9 - 10 = -1

Answer:

-1

Step-by-step explanation:

h(x) = -3x - 10    

h(-3)            means to replace the x in the problem with the value of -3 and  

                   solve.

h(-3) = -3(-3) - 10

h(-3) =  9 - 10

h(3) = -1

Dean sai de casa para caminhar ate a escola que fica a 10 quadras de distancia .ele mantem um ritmo constante o tempo todo emquanto caminha ele sente fomd d decide começar a comer biscoitos a um taxa de 1 biscoito por 5 minutos toda a caminhada sele leva 20 minutos




a. Quantos biscoitos o dean come quando chega á escola




B. Quantos biscoitos dean come por bloco





C.quantos quarteiroes dean anda por minuto

Answers

A. Quintos biscottis o dean come quando chega a escola

What is the slope of the line passing through the points (8, 9) and (-2, 9)?

Answers

there is the answer

Answer:

Slope is 0

Step-by-step explanation:

First, find the difference in the x and y of each point by subtraction.

8 - (-2) = 10

9 - 9 = 0

Because the y value doesn't change in between these two points, that indicates the slope is 0

2x = x +3
Help pls I can’t do this one

Answers

Answer:

x=3

Step-by-step explanation:

Subract the x from the left side and add it to the right side and then you got your answer

Sarah has 86% in science, 72% in English, 93% in World Studies,87% in french,93% in music, 100% in health and 80% in math. What is her average? How does her English grade affect this average? What should she do to bring her average higher?

Answers

Average: about 87%

Her english grade affects her average because it is the lowest out of all of the grades which brought her average grade down.

not sure about this: To bring her average higher, she should probably try more in english or study. (not sure about this one)

Step by Step:

Add up all of her scores:

86 + 72 + 93 + 87 + 93 + 100 + 80

it equals 611

Since we added up 7 scores, we divide 611 by 7

611 divided by 7 is 87.285...

So her average is about 87%

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