At which point does the line (y=-4x+3) cut the (y)-axis?
Answer and explanation
Correct answer: \((0,3)\)
The equation of the line is \(y=-4x+3\). Every point on the \(y\)-axis has \(x=0\). Substituting \(x=0\) gives \(y=-4(0)+3=3\), so the intercept is \((0,3)\). The point \((3,0)\) lies on the \(x\)-axis, not on the \(y\)-axis. Exam tip: in \(y=mx+c\), the \(y\)-intercept is \((0,c)\).
Frequently asked questions
What is the correct answer to this question?
\((0,3)\)
Why is this the correct answer?
The equation of the line is \(y=-4x+3\). Every point on the \(y\)-axis has \(x=0\). Substituting \(x=0\) gives \(y=-4(0)+3=3\), so the intercept is \((0,3)\). The point \((3,0)\) lies on the \(x\)-axis, not on the \(y\)-axis. Exam tip: in \(y=mx+c\), the \(y\)-intercept is \((0,c)\).
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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