Find the slope of the line which has a Y Intercept of -2 and passes through the point ( -3, -14)

Question

Find the slope of the line which has a Y Intercept of -2 and passes through the point ( -3, -14)

Answer 1

The point-slope form of the equation of a line looks like:  y=mx + b

     where m=slope and b is the y-intercept

 

Given y-intercept = -2, this equation is y = mx - 2     and the point (-3.-14) can be used to find m.

       -14 - m(-3) -2

       -12 = -3m

         4 = m

The slope is 4.

 

Check:

    Is (-3,-14) on the line y=4x-2   ?

                -14 = 4(-3) - 2   ?

                   -14 = -14   ?yes