Question

What is the slope of the line that passes through the points (-9, -8)((−15,−16)? Write your answer in simplest form.

Answer 1

Answer:

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

$Slope=\dfrac{4}{3}$

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -9 ,-8)

point B( x₂ , y₂ )≡ (-15 ,-16)

To Find:  

Slope = ?

Solution:

Slope of Line Segment AB is given as

$Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Substituting the values we get

$Slope(AB)=\dfrac{-16-(-8)}{-15-(-9)}\\\\Slope(AB)=\dfrac{-16+8}{-15+9}\\\\Slope(AB)=\dfrac{-8}{-6}=\dfrac{4}{3}$

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

$Slope(AB)=\dfrac{4}{3}$