What is the slope of the equation (y-8=-5x)?
Answer and explanation
Correct answer: \(-5\)
Adding 8 to both sides of \(y-8=-5x\) gives \(y=-5x+8\). In slope-intercept form \(y=mx+c\), the coefficient of \(x\), namely \(m\), is the slope. Therefore, the slope is \(-5\). Here, \(8\) is the y-intercept, not the slope. Exam tip: Rewrite the equation in the form \(y=mx+c\) and identify the coefficient of \(x\).
Frequently asked questions
What is the correct answer to this question?
\(-5\)
Why is this the correct answer?
Adding 8 to both sides of \(y-8=-5x\) gives \(y=-5x+8\). In slope-intercept form \(y=mx+c\), the coefficient of \(x\), namely \(m\), is the slope. Therefore, the slope is \(-5\). Here, \(8\) is the y-intercept, not the slope. Exam tip: Rewrite the equation in the form \(y=mx+c\) and identify 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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