Question

What is the slope of the line through (-9, 6) and (3, -9)?

Answer 1

`- (5)/(4)`

Explanation:

To find the slope (m) of a line, use the formula:

`m = (\Delta y)/(\Delta x) = (y_2 - y_1)/(x_2 - x_1)`

where
`(x_1, y_1)` and
`(x_2, y_2)` are two given points on the line.

So, the slope of the line is:

`m = (-9-6)/(3-(-9))`

using the points (-9, 6) and (3, -9).

Finally, simplify the constructed equation.

`m = (-15)/(12)`

`m = - (5)/(4)`

So, the slope, or rate of change, of this function is -5/4.