Question

A-The slope is2/3 and the y-intercept is -2

B-The slope is 2/3,and the y-intercept is 3

C-The slope is 3/2,and the y-intercept is -2

D-The slope is3/2, and the y-intercept is 3

Answer 1

A

Explanation:

How to find the slope?

The letter m is usually used to refer to the slope. To calculate it, we divide the change in y over the change in x.

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

In order to find this, we must find at least 2 coordinates that we know the function passes through.

In this case, we can see that the function passes through the point (3,0) and (0,-2).

`m=(0-(-2))/(3-0) = (2)/(3)`

Now that we know that the slope is
`(2)/(3)` we can ignore options C and D since
`(3)/(2) \\eq (2)/(3)`

What is the y-intercept?

The y-intercept is the y value were the function touches the y axis.

In this case, we can see that the only point where the function touches the y axis (the vertical one) is -2

Let me know if you'd like me to explain something in more detail. Good luck!