slope intercept

Question

find the equation of the line. put in slope intercept form with (2,10) (-4,1)

Answer 1

Let (x₁,y₁)=(2,10) and (x₂,y₂)=(-4,1):

Calculate slope

m = (y₂-y₁)/(x₂-x₁) = (1-10)/(-4-2) = (-9)/(-6) = 9/6 = 3/2

Calculate y-intercept

y = mx+b

10 = (3/2)(2)+b

10 = 3+b

7 = b

Final equation

y = (3/2)x + 7

Hope this helped!

Answer 2

Start with two-point form: (Algebra 1)

(y - 10) / (x - 2) = (1 - 10) / (-4, -2)

Can you simplify and transform to slope-intercept form?