Question

What is the slope in the given line?

Answer 1

`-(2)/(3)`

Explanation:

The slope/gradient of a line is defined by this formula:

`(y_(1)-y_(0) )/(x_(1)-x_(0) )`

Where you pick two coordinates, find the change in the
`y` values, and divide it by the change in the
`x` values.

Two coordinates that this line passes through are (3, -2) and (-3, 2).

You can take the second
`y`-value (2) from the first
`y`-value (-2) or vice versa, so long as you do it in the same order the
`x` values.

For this example, I will take the first
`y`-value (-2) from the second
`y`-value (2), and take the first
`x`-value (3) from the second
`x`-value (-3).

The gradient/slope is defined by
`m` in the following:


`m=(2--2)/(-3-3)=(4)/(-6)=-(4)/(6)=-(2)/(3)`

Answer 2

-2/3 because it’s rise over run