Question

What are the x-intercept and the y-intercept of the graph of 9x − 7y = −63?A.x-intercept: 7; y-intercept: −9B.x-intercept: −7; y-intercept: 9C.x-intercept: 9; y-intercept: −7D.x-intercept: −9; y-intercept: 7

Answer 1

Equation of a line:

9x - 7y = -63

To find the x-intercept we have to substitute y = 0 into the equation, as follows:

9x - 7*0 = -63

9x = -63

Dividing by 9 at both sides of the equation:

9x/9 = -63/9

x = -7

To find the y-intercept we have to substitute x = 0 into the equation, as follows:

9*0 - 7y = -63

-7y = -63

Dividing by -7 at both sides of the equation:

-7y/(-7) = -63/(-7)

y = 9

Answer

x-intercept: −7; y-intercept: 9