Question

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

Answer 1

`\sf slope(m) =- (4)/(3)`

Explanation:

The slope (m) of a line passing through two points
`\sf (x_1, y_1)` and
`\sf (x_2, y_2)` can be calculated using the formula:

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

For the points
`\sf (0, -4)` and
`\sf (-3, 0)`, let
`\sf x_1 = 0`,
`\sf y_1 = -4`,
`\sf x_2 = -3`, and
`\sf y_2 = 0`.

`\sf m = \frac{{0 - (-4)}}{{-3 - 0}}`

Simplifying:

`\sf m = (4)/(-3)`

So, the slope of the line passing through the points
`\sf (0, -4)` and
`\sf (-3, 0)` is
`\sf -(4)/(3)`.