Question

Can someone please help me with this?!

Answer 1

Answer:
`y=(1)/(4)x-3`

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=(y_2-y_1)/(x_2-x_1)=(-4-(-1))/(-4-8)=(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=(1)/(4)x-3`