Find the y-intercept of the line 7y-8x+12=0

Question

4/5

-3/2

7/12

8/7

-12/7

 

Answer 1

The y-intercept is the point where x=0.  So, set x=0 and find the corresponding value of y.

 

      7y + 12 = 0

       7y = -12

        y = -12/7

 

  The point (0,-12/7)

Answer 2

Rewrite in the form

 

y = mx  + b

 

7y - 8x + 12 = 0

 

7y = 8x - 12

 

y = (8/7)x - 12/7

 

The intercept is b = -12/7.  The point is (0,-12/7).