In the line (y=7-10x), what are the slope and (y)-intercept?
Answer and explanation
Correct answer: Slope -10, y-intercept 7
Compare the line with slope-intercept form \(y=mx+c\). Since \(y=7-10x=-10x+7\), the coefficient of \(x\) is \(-10\), so the slope is \(-10\); the constant term is \(7\), so the y-intercept is \(7\). Option C has the correct y-intercept but misses the negative sign of the slope. 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?
Slope
-10, y-intercept 7
Why is this the correct answer?
Compare the line with slope-intercept form \(y=mx+c\). Since \(y=7-10x=-10x+7\), the coefficient of \(x\) is \(-10\), so the slope is \(-10\); the constant term is \(7\), so the y-intercept is \(7\). Option C has the correct y-intercept but misses the negative sign of the slope. 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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