Writing the Equation of a Line in Slope-lh
Given Two Points
Try it
Write the equation of the line that passes through
the points (-1, 2) and (6, 3) in slope-intercept form,
Step 1: Choose (X1Y1).

9514 1404 393

Answer:

  5 and 15

Step-by-step explanation:

Let x represent the smaller number. Then the larger is x+10. The sum is ...

  2x +3(x+10) = 55

  5x +30 = 55

  5x = 25

  x = 5

The two numbers are 5 and 15.

__

Check

  2·5 + 3·15 = 10 +45 = 55

9514 1404 393

Answer:

  1.52 mm

Step-by-step explanation:

Let p represent the thickness of one penny. Then a stack of 12 pennies will have a thickness of 12p.

  12p = 18.24 mm

  p = 18.24 mm/12 = 1.52 mm . . . . divide by the coefficient of p

The thickness of each penny is 1.52 mm.

Answer:

2

Step-by-step explanation:

Answer:

point slope form---> y-2=1/4(x- -8)

slope intercept form---> y=1/4x+4

Step-by-step explanation:

i didnt know which equation you were asking for

Answer:

a) 3

b) y=3(x-2)-2

Step-by-step explanation:

a)

Step 1: Find the gradient/slope of AB

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]=[tex]\frac{-2-2}{7-(-5)} =\frac{-4}{12} =-\frac{1}{3}[/tex]

Step 2: Find the gradient/slope of the line perpendicular to AB

The slope of the line perpendicular to AB is the reciprocal of the slope of the line AB multiplied by -1, so the slope of the line perpendicular to AB is 3.

b)

Step 1: Find the formula for the equation of a line

If you have a point and the slope, you can use the point-slope form, which is y-y1=m(x-x1).

Step 2: Plug in values to the formula

y-(-2)=3(x-2)

Step 3: Simplify

y+2=3(x-2)

y=3(x-2)-2

[tex]$a)$[/tex] The gradient of a line perpendicular to line [tex]$AB$[/tex] is [tex]$3$[/tex].

[tex]$b)$[/tex] The equation of the line perpendicular to line [tex]$AB$[/tex] and passing through point [tex]$C$[/tex] is [tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

What is slope of perpendicular lines?

Lines that are perpendicular lines have slopes that are negative reciprocals.

It is given that the points,

[tex]$A=\left( -5,2 \right)$[/tex]

[tex]$B=\left( 7,-2 \right)$[/tex]

[tex]$C=\left( -2,5 \right)$[/tex]

[tex]$a)$[/tex] We will find the gradient of a line perpendicular to line [tex]$AB$[/tex] by using the slope formula.

So,

By the definition, the slope or gradient of a line describes its steepness, incline, or grade.

[tex]$m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}$[/tex] which is equal to [tex]$\tan \left( \theta \right)$[/tex].

Where [tex]$m$[/tex] is the slope and [tex]$\theta $[/tex] is the angle of incline.

So,

Slope [tex]$\left( m \right)=\frac{-2-2}{7-\left( -5 \right)}$[/tex]

[tex]m=\frac{-1}{3}[/tex]

So, The slope of the line perpendicular to [tex]AB[/tex] is the reciprocal of the slope of the line [tex]AB[/tex] which is multiplied by [tex]-1[/tex].

so the slope of the line perpendicular to [tex]AB[/tex] is [tex]3[/tex].

[tex]b)[/tex] We will find the equation of the line perpendicular to [tex]AB[/tex] passing through the point [tex]C[/tex] that is [tex](-2,5)[/tex] by using the formula,

[tex]y=mx+b[/tex]

Here,

[tex]y=5[/tex]

[tex]x=-\frac{1}{3}[/tex]

We will find the [tex]y-[/tex] intercept of the line [tex](b)[/tex] first.

So,

[tex]$5=-\frac{1}{3}\left( -2 \right)+b$[/tex]

[tex]$5=\frac{2}{3}+b$[/tex]

Subtract [tex]\frac{2}{3}[/tex] both side.

So,

[tex]$b=\frac{13}{3}$[/tex]

So, the line perpendicular to [tex]AB[/tex] and passing throught the point [tex]C[/tex] is,

[tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

Hence,

[tex]$a)$[/tex] The gradient of a line perpendicular to line [tex]$AB$[/tex] is [tex]$3$[/tex].

[tex]$b)$[/tex] The equation of the line perpendicular to line [tex]$AB$[/tex] and passing through point [tex]$C$[/tex] is [tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

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Answer: I just took the test and the answer is Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

Step-by-step explanation:

The solution for the given system of linear equations is (32/69, -10/23).

The given system of equations are 3x-6y=4 and 6x+11y=-2.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here,

3x-6y=4 ---------(I) and 6x+11y=-2 ---------(II)

Multiply equation (I) by 2, we get

6x-12y=8 ---------(III)

Subtract equation (III) from (II), we get

6x+11y-(6x-12y)=-2-8

⇒ 23y=-10

⇒ y=-10/23

Substitute y=-10/23 in (I), we get

3x-6(-10/23)=4

⇒ 3x+60/23=4

⇒ 3x=4-60/23

⇒ x=32/69

So, solution is (32/69, -10/23)

Therefore, the solution for the given system of linear equations is (32/69, -10/23).

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Answer:

I am not certain if its right

Step-by-step explanation:

Answer:

10.95

Step-by-step explanation:

The square root of 120 is 10.95445. And if you want it to the nearest hundredth it would be 10.95 :)

Answer:

Step-by-step explanation:

sure

Answer: B

Step-by-step explanation: because 8 divide by 3 equal about 1.6 something

The answer lies between 0 and 1.

Given is that Arie makes 3 giant sandwiches to share equally with 8 friends. Each friend gets a fraction of a sandwich.

Each friend will get -

{x} = 3/8

{x} = 0.375

So, we can see that -

0 < 0.375 < 1

Therefore, the answer lies between 0 and 1.

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Answer:

#1 is 1/4 #2 is 2/5

Step-by-step explanation:

they were able to be divided by a certain number that they were all equal to

Answer:

12/48=1/4 and 6/15=2/5

Answer:

Step-by-step explanation:

Price of one pound = 1.95

Price of 13.2 pounds = 13.2 x 1.95 = 25.74

Answer:

8x-12

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]4(2x-3)[/tex]

Expand

[tex]4\times 2x = 8x\\\\4\times(-3)=-12\\\\8x-12[/tex]

Answer:

THE MAN WHO PUT SOAP IN HIS SOUP SO HE COULD WASH IT DOWN WITH SOMETHING

Step-by-step explanation:

Answer:

me think me made girl mad on brainly

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The first one: y = 2x - 1

The second one: y = 1/2x + 2

And if the second one is wrong, then it's y = x + 2.

Answer:

D.32

Step-by-step explanation:

14 + 45 = 59

180 - 59 = 121

The oppisite angle in that shape will be equal

so, E= 121

121+27 = 148

180 - 148 = 32

Answer:

D.32

Step-by-step explanation:

14+45=59

180-59=21

the opposite angle in the shape is equal so , E=21

121+27=148

180-148=32

Answer:

i think the answer is 32

Answer:

32 tablespoons

Step-by-step explanation:

Answer:

2 6/7

Step-by-step explanation:

Answer:

1 1/2

Hope I helped

Answer:

1 1/2

Step-by-step explanation:

To add fractions together you have to have a common denominator. To do this, I multiplied -1/5 by 2 to get -2/10 which has the same denominator (10) as 17/10. now you add the numerator of both fractions. -2+17 equals 15. so your new fraction is 15/10. 15 divided by 10 is 1.5 which you can write as 1 and 1/2.

Answer:

DE = 6.3 units

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle, that is DE

Is one half the measure of the third side, that is

DE = 12.6 ÷ 2 = 6.3

Answer:

C. 40 kilograms

Step-by-step explanation:

Answer:

A.) $7832.40

Step-by-step explanation:

9,011.20+8,780.00+4,356.01

=22,147.21/3

=7382.40

Answer:

Cubed

Step-by-step explanation:

You can think of it as the volume of a cube where the volume is x to the third power ([tex]x^{3}[/tex], let x = side of the cube) to help you remember. This also goes the same for x to the second power (squared) where it can represent the area of a square which is x².

Hope this helps :)

Answer:

1.7

Step-by-step explanation:

You can just use a calculator to make the work easier.

Answer:

Step-by-step explanation:

A right angle triangle is a triangle with an angle that measures 90°

An obtuse angle triangle is a triangle with an angle that measures more than 90°

An equiangular triangle is a triangle with all three angles measuring the same. Thus called 'equi' as in equal and angular meaning angle.

EXTRA INFO:

An acute angle is an angle that measures less than 90°

Answer:

C, the plus or minus at the end of a function stands for the point on the y axis going up or down 13.

Step-by-step explanation:

Brainlyest pls I need 1 more to level up

It would be 13 spaces lower because f(x) always equals y and -13 means you are going down 13 units.

Plz mark me brainliest

Answer:

5 ÷ 8 = 0.625

24 ÷ 0.625 = 38.4

i would say 38.4 minutes.

Step-by-step explanation:

Answer:

322 rounded to the greatest place value

After rounding off 322 to the nearest tenths, the resultant number is 320.

So, 322 rounded to tenth place:

Then after rounding off:

Therefore, after rounding off 322 to the nearest tenths, the resultant number is 320.

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The correct question is given below:

322 rounded to the tenth-place value

Answer:

There is no solution

Step-by-step explanation: