At which point does the line (y=4x+10) cut the (y)-axis?
Answer and explanation
Correct answer: \((0,10)\)
At any point on the y-axis, the x-coordinate is 0. Substituting \(x=0\) in \(y=4x+10\) gives \(y=10\). Hence, the line cuts the y-axis at \((0,10)\). In \((0,4)\), 4 is the slope, not the y-intercept. Exam tip: for \(y=mx+c\), the y-intercept is always \((0,c)\).
Frequently asked questions
What is the correct answer to this question?
\((0,10)\)
Why is this the correct answer?
At any point on the y-axis, the x-coordinate is 0. Substituting \(x=0\) in \(y=4x+10\) gives \(y=10\). Hence, the line cuts the y-axis at \((0,10)\). In \((0,4)\), 4 is the slope, not the y-intercept. Exam tip: for \(y=mx+c\), 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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