Question

Through the points (-1,-9) and (2,6) find the equation

Answer 1

M= 6- -9 / 2- -1 = 6+9 / 2+1 = 15/3 = 5 
y-6=5(x-2) 
y-6=5x-10 
y=5x-4 

-9=5(-1)-4
-9=-5-4
-9=-9 

6=5(2) -4
6=10-4
6=6 

Step 1: find the slope using the formula m=y2-y1/x2-x1
Step 2: plug the slope and one point into the point-slope formula and solve to find the equation of the line in y=mx +b form.
Step 3: test both points to see if the equation works.