Answer:
The y-coordinate of the y-intercept is 2
Step-by-step explanation:
step 1
Find the slope of the line
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have the points
(–4, –4) and (4, 8)
substitute in the formula
[tex]m=\frac{8+4}{4+4}[/tex]
[tex]m=\frac{12}{8}=1.5[/tex]
step 2
Find the equation of the line in slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]m=1.5\\point\ (4,8)[/tex]
substitute and solve for b
[tex]8=1.5(4)+b[/tex]
[tex]b=8-6=2[/tex]
so
[tex]y=1.5x+2[/tex]
therefore
The y-coordinate of the y-intercept is 2
