he point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = 1/4 (x – 8). What is the slope-intercept form of the equation for this line?

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.