Question

What is the slope of the line that passes through the following points? (-7 , 0) and (4 , -2)

Answer 1

Hello! Our answer is -2/11.

`\large\texttt{Explanation}`

We are asked to find the slope of the line that passes through these two points:

(-7,0) and (4,-2)

Use the slope formula:

`\sf{m=\cfrac{y_2-y_1}{x_2-x_1}}`

Substitute the data:

`\sf{m=\cfrac{-2-0}{4-(-7)}}`

`\sf{m=\cfrac{-2}{4+7}}`

`\sf{m=\cfrac{-2}{11}}`

`\sf{m=-\cfrac{2}{11}}`

`\therefore` The slope of the line passing through the points (-7,0) and (4,-2) is -2/11.

Answer 2

`\sf (-2)/(11)`

Explanation:

(-7 , 0) ⇒ x₁ = -7 & y₁ = 0

(4 , -2) ⇒ x₂ = 4 & y₂ = -2

We find the slope by the below mentioned formula,

`\boxed{\bf Slope =(y_2-y_1)/(x_2-x_1)}`

`\sf = (-2-0)/(4 -(-7))\\\\\\=(-2)/(4+7)\\\\\\=(-2)/(11)`