Question

What are the x-intercept and the
y-intercept of the graph of
8x7y=-56?

Answer 1

Key Concepts

• Finding x- and y-intercepts of linear functions

Solving the Question

In this multiple choice question, we can find the intercepts by substituting the given x values into the linear equation.

• x-intercepts occur when y=0.

If the resulting value of y is 0 after we substitute in one of the possible x-intercepts, then we know it is correct.

x-intercept: 8

`8x-7y=-56\\8(8)-7y=-56\\64-7y=-56\\-7y=-120\\-7y=-120\\y\\eq0`

x-intercept: 7

`8x-7y=-56\\8(7)-7y=-56\\56-7y=-56\\-7y=-112\\y\\eq0`

x-intercept: -7

`8x-7y=-56\\8(-7)-7y=-56\\-56-7y=-56\\-7y=0\\y=0`

Answer

D) x-intercept: -7, y-intercept: 8