Answer: [tex]y=\frac{1}{4}x-3[/tex]
Step-by-step explanation:
- The equation of the line in the slope intercept form is: [tex]y=mx+b[/tex]
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:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-(-1)}{-4-8}=\frac{1}{4}[/tex]
- 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:
[tex]y=\frac{1}{4}x-3[/tex]
