Which line has slope (-2) and (y)-intercept (4)?
Answer and explanation
Correct answer: \(y=-2x+4\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. Substituting \(m=-2\) and \(c=4\) gives \(y=-2x+4\). Option A has a \(y\)-intercept of 4, but its slope is \(2\), not \(-2\). Exam tip: the coefficient of \(x\) is the slope, while the constant term is the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\(y=-2x+4\)
Why is this the correct answer?
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. Substituting \(m=-2\) and \(c=4\) gives \(y=-2x+4\). Option A has a \(y\)-intercept of 4, but its slope is \(2\), not \(-2\). Exam tip: the coefficient of \(x\) is the slope, while the constant term 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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