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
[tex]8x-7y=-56\\8(8)-7y=-56\\64-7y=-56\\-7y=-120\\-7y=-120\\y\neq0[/tex]
x-intercept: 7
[tex]8x-7y=-56\\8(7)-7y=-56\\56-7y=-56\\-7y=-112\\y\neq0[/tex]
x-intercept: -7
[tex]8x-7y=-56\\8(-7)-7y=-56\\-56-7y=-56\\-7y=0\\y=0[/tex]
Answer
D) x-intercept: -7, y-intercept: 8
