Question

What is the function rule for the line?

Answer 1

Answer:

$y=-\frac{2}{3}x-2$

Step-by-step explanation:

To find the equation that represents the line, we just need to use two points on the line and find the slope first.

We are gonna use points (-3,0) and (0,-2). The slope formula is

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{-2-0}{0-(-3)}\\m=\frac{-2}{3}$

Then, we use the point-slope formula

$y-y_{1} =m(x-x_{1} )\\y-0=-\frac{2}{3} (x-(-3))\\y=-\frac{2}{3}x-2$

Therefore, the right answer is the third choice.

Answer 2

f(x) = -2/3 - 2

Because it intercepts the y axis at -2 and the rise over run is -2 (going down two) and 3 (going right three)