What is the distance between points L(−5, 7) and M(3, −8)?

Answer:

17

Step-by-step explanation:

√(3-(-5))²+(-8-7)²

√(3+5)²+(-15)²

√8²+225

√64+225

√289

=17

The distance between two points L(-5, 7) and M(3, -8) is 17 units.

Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

Here Distance formula = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]

Distance  = [tex]\sqrt{(3-(-5))^{2} + (-8-7)^{2} }[/tex]

D = [tex]\sqrt{8^2+15^2}[/tex]

D =[tex]\sqrt{64 + 225}[/tex]

D = [tex]\sqrt{289}[/tex]

D = 17 units

Thus, the distance between two points L(-5, 7) and M(3, -8) is 17 units.

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