In the line (y=20-5x), what are the slope and (y)-intercept?
Answer and explanation
Correct answer: \(m=-5,\;c=20\)
Compare the equation with slope-intercept form \(y=mx+c\). The given line can be written as \(y=-5x+20\). Therefore, the coefficient of \(x\) gives the slope \(m=-5\), and the constant term gives the \(y\)-intercept \(c=20\). Option B has the correct intercept but the wrong sign for the slope. Exam tip: In \(y=mx+c\), always check the sign of the coefficient of \(x\).
Frequently asked questions
What is the correct answer to this question?
\(m=-5,\;c=20\)
Why is this the correct answer?
Compare the equation with slope-intercept form \(y=mx+c\). The given line can be written as \(y=-5x+20\). Therefore, the coefficient of \(x\) gives the slope \(m=-5\), and the constant term gives the \(y\)-intercept \(c=20\). Option B has the correct intercept but the wrong sign for the slope. Exam tip: In \(y=mx+c\), always check the sign of the coefficient of \(x\).
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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