Which statement about the (y)-intercepts of (y=-2x+5) and (y=3x+5) is correct?
Answer and explanation
Correct answer: Both lines have y-intercept 5
In the form \(y=mx+c\), the y-intercept is \(c\), because \(x=0\) on the y-axis. Both equations have constant term \(5\), so both lines meet the y-axis at \(5\). The values \(-2\) and \(3\) are their slopes, not their y-intercepts. Exam tip: in \(y=mx+c\), \(m\) is the slope and \(c\) is the y-intercept.
Frequently asked questions
What is the correct answer to this question?
Both lines have y-intercept 5
Why is this the correct answer?
In the form \(y=mx+c\), the y-intercept is \(c\), because \(x=0\) on the y-axis. Both equations have constant term \(5\), so both lines meet the y-axis at \(5\). The values \(-2\) and \(3\) are their slopes, not their y-intercepts. Exam tip: in \(y=mx+c\), \(m\) is the slope and \(c\) is the y-intercept.
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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