Question

Are (2,9) and (-3,-6) both on the line y - 4x + 6? If not, find an equation for the line that does pass through both points.

Answer 1

points doesn't lie in the given line.

Explanation:

firmula for finding the equation of these points are

`(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)`

x1=2 , x2=-3, y1= 9 ,y2=-6

subtitute all values in formula

`(y - 9)/( - 6 - 9) = (x - 2)/( - 3 - 2)`

`y - 3x - 3 = 0`

if we put (2,9) and (-3,-6) in new equation then they will satisfy equation.so this is the equation where points lie in the line