what is the equation in the point slope form of the line passing through (3,6) and -2,1)

Answer 1

Hey! Lets solve this shall we ?

So, we must find the line passing through these two points of (3,6) and (-2,1). First, we must find the slope using the slope formula such that

y2 - y1 1 - 6 -5

m = ---------- = ------- = ------- = 1

x2 - x1 -2-3 -5

Then, we bring out the point-slope formula to plug in (x1,y1) = (3,6) and m = 1 such that

y - y1 = m(x - x1)

y - 6 = 1 (x - 3)

I hope this helped!