Answer:
[tex]y=\frac{1}{4}x+2[/tex]
Step-by-step explanation:
The point-slope form of the equation of a line that passes that through points (8, 4) and (0, 2) is given as;
[tex]y-4=\frac{1}{4}(x-8)[/tex]
To find the slope-intercept form of this line, we need to expand the point-slope form.
[tex]y-4=\frac{1}{4}x-2[/tex]
We now solve for y to obtain;
[tex]y=\frac{1}{4}x-2+4[/tex]
We simplify to obtain:
[tex]y=\frac{1}{4}x+2[/tex]
This equation is now in the form;
[tex]y=mx+c[/tex]
This is what we refer to as the slope-intercept form.
