Question

A line passes through the points (-4,3) and (0,0). What is the slope of the line?

Answer 1

slope = -0.75

Explanation:

In order to calculate the slope of a line given the coordinates of two points, we can use the following formula:

`\boxed{m = (y_2 - y_1)/(x_2 - x_1)}`,

where:

m ⇒ slope

`(x_1, y_1)` ,
`(x_2, y_2)` ⇒ known coordinates.

Substituting values into the formula:

`{m = (0 - 3)/(0 - (-4))}`

⇒
`-(3)/(4)`

⇒
`\bf -0.75`

∴ The slope of the line is -0.75.