At which point does the line (y=-5x+7) cut the (y)-axis?
Answer and explanation
Correct answer: \((0,7)\)
Every point on the y-axis has x-coordinate 0. Substituting \(x=0\) in the equation gives \(y=-5(0)+7=7\). Therefore, the line cuts the y-axis at \((0,7)\). The value -5 is the slope, not the y-intercept, so \((0,-5)\) is incorrect. Exam tip: In \(y=mx+c\), the y-intercept is always \((0,c)\).
Frequently asked questions
What is the correct answer to this question?
\((0,7)\)
Why is this the correct answer?
Every point on the y-axis has x-coordinate 0. Substituting \(x=0\) in the equation gives \(y=-5(0)+7=7\). Therefore, the line cuts the y-axis at \((0,7)\). The value -5 is the slope, not the y-intercept, so \((0,-5)\) is incorrect. Exam tip: In \(y=mx+c\), the y-intercept is always \((0,c)\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
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