Question

Can someone please help me with this?!

Answer 1

Answer: $y=\frac{1}{4}x-3$

Step-by-step explanation:

- The equation of the line in the slope intercept form is: $y=mx+b$

Where m is the slope and b is the y-intercept of the line

- Let's choose two points of the line: (8,-1) and (-4,-4).

- You must calculate the slope of the line as following:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-(-1)}{-4-8}=\frac{1}{4}$

- As you can see in the graph attached, the line intersects the y-axis at -3, then b=-3.

- Substituting values into the equation of the line, you obtain:

$y=\frac{1}{4}x-3$