Answer:
Step-by-step explanation:
Slope-intercept form implies that we need the slope...so let's do that first. The formula to find the slope being given 2 coordinates is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] so filling in:
[tex]m=\frac{2-8}{6-4}=\frac{-6}{2}=-3[/tex] so the slope is -3. Now we will use that slope in the point-slope form of a line and write the equation.
Point-slope form is
[tex]y-y_1=m(x-x_1)[/tex] and filling in:
y - 8 = 3(x - 4) (you can choose either point to use for x and y; you'll get the same equation either way...PROMISE!)
y - 8 = 3x - 12 and
y = 3x - 12 + 8 so
y = 3x - 4 and that's the line in slope-intercept form.
