Question

What is the slope of the line through (-9,-6)(−9,−6)left parenthesis, minus, 9, comma, minus, 6, right parenthesis and (3,-9)(3,−9)left parenthesis, 3, comma, minus, 9, right parenthesis?

Answer 1

the slope of the line through the points (-9,-6) and (3,-9) is
`-(1)/(4)`

Explanation:

Given that,

Points (x₁ , y₁) is (-9,-6) respectively and

( x₂ , y₂) is (3,-9) respectively.

The slope of the line through the points is determined by the formula:

`Slope, m=(y_2-y_1)/(x_2-x_1)`

where x₁ = -9

y₁ = -6

x₂ = 3

y₂ = -9

Therefore:

`\\ m=(-9-(-6))/(3-(-9))\\=(-9+6)/(3+9)\\=(-3)/(12)\\\\m=-(1)/(4)\\`

Therefore, the slope of the line through the points (-9,-6) and (3,-9) is
`-(1)/(4)`

Answer 2

`-(1)/(4)`

Explanation:

Given two points (-9,-6) and (3,-9). The slope of the line through the points is determined by the formula:

`Slope, m=(y_2-y_1)/(x_2-x_1) ,$ where (x_1,y_1)=(-9,-6), (x_2,y_2)=(3,-9)\\$Therefore:\\ m=(-9-(-6))/(3-(-9))\\=(-9+6)/(3+9)\\=(-3)/(12)\\\\m=-(1)/(4)\\`

The slope of the line through the points (-9,-6) and (3,-9) is
`-(1)/(4)`