QQuestionMathematics
QuestionMathematics
What are the x-intercept and the y-intercept of the graph of 9x − 7y = −63?
A. x-intercept: 7; y-intercept: −9
B. x-intercept: −7; y-intercept: 9
C. x-intercept: 9; y-intercept: −7
D. x-intercept: −9; y-intercept: 7
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Answer
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Step 1:Find the x-intercept
9x - 7y = -63
To find the x-intercept, set y to 0 and solve for x.
Step 2:Solve for x when y = 0
9x - 7(0) = -63 \Rightarrow 9x = -63 \Rightarrow x = -7
The x-intercept is - 7.
Step 3:Find the y-intercept
9x - 7y = -63
To find the y-intercept, set x to 0 and solve for y.
Step 4:Solve for y when x = 0
9(0) - 7y = -63 \Rightarrow -7y = -63 \Rightarrow y = 9
The y-intercept is 9.
Final Answer
x\text{-intercept}:\ -7,\ y\text{-intercept}:\ 9
The correct answer is B: x-intercept: - 7; y-intercept: 9.
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