Answer:
(0, 0)
Step-by-step explanation:
First, find slope:
[tex]\frac{4-2}{32-16}=\frac{2}{16}=\frac{1}{8}[/tex]
Write this as a slope-intercept equation:
[tex]y=\frac{1}{8}x+b[/tex]
Plug in [tex](16, 2)[/tex] as [tex](x, y)[/tex] to solve for b:
[tex]2=\frac{1}{8}*16+b\\2=2+b\\b=0[/tex]
Since b is 0, we know that the y-intercept is (0, 0) (the origin).