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.
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
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).
[tex]m=\frac{0-(-2)}{3-0} = \frac{2}{3}[/tex]
Now that we know that the slope is [tex]\frac{2}{3}[/tex] we can ignore options C and D since [tex]\frac{3}{2} \neq \frac{2}{3}[/tex]
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!
