Question

A line crosses the coordinates (-4,-5) and (2,4). What is the slope of the line?

Answer 1

Our answer is 3/2.

`\Large\texttt{Explanation}`

We are asked to find the slope of the following points: (-4,-5) and (2,4).

Use the formula

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

Substitute the values:

`\sf{\cfrac{4-(-5)}{2-(-4)}}`

Simplify.

`\sf{\cfrac{4+5}{2+4}}`

`\sf{\cfrac{9}{6}}`

Reduce the fraction

`\sf{\cfrac{3}{2}}`

`\therefore` the slope is 3/2