Question

Which of the following are point slope form of the line going through (-4,6) and (1,2)

Answer 1

answer in comment

Explanation:

So, we have to find the slope of the line. We are given two points, so we can use those:

(x1,y1) = (-4,6)

(x2,y2) = (1,2)

m = (y2-y1)/(x2-x1) = (2-6)/(1--4) = (2-6)/(1+4) = -4/5

Also, we know that point-slope is of the form:

(y-y1) = m*(x-x1)

It doesn't matter which point you use, though, you can also use:

(y-y2) = m*(x-x2)

So we can plug the variables into the equation and get:

(y-2) = -4/5*(x-1)

OR

(y-6) = -4/5*(x+4)