Question

Which is the equation in point-slope form of the line passing through (4,0) and (2,6)?

Answer 1

Hey there!

For point slope, we need one point and a slope. We have the point(s), but we need to find the slope. We can do this by using the slope given two points formula-

y2-y1/x2-x1

Plug in points (4,0) and (2,6)

6-0/2-4
6/-2
-3

Now that we have the slope, we can use your point (2,6) in our point slope formula-

y-y1 = m(x-x1) =

y-6 = -3(x-2)

This is your answer.

Hope this helps!