Question

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

Answer 1

Answer:

A

Step-by-step 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.

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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).

$m=\frac{0-(-2)}{3-0} = \frac{2}{3}$

Now that we know that the slope is $\frac{2}{3}$ we can ignore options C and D since $\frac{3}{2} \neq \frac{2}{3}$

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!