In the line (y=4x-10), what are the slope and (y)-intercept?
Answer and explanation
Correct answer: Slope \(4\), \(y\)-intercept \(-10\)
A line in standard slope-intercept form is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. Comparing \(y=4x-10\) with this form gives \(m=4\) and \(c=-10\). Hence, option A is correct. In option B, the slope and the \(y\)-intercept have been interchanged. Exam tip: the coefficient of \(x\) gives the slope, while the constant term gives the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
Slope \(4\), \(y\)-intercept \(-10\)
Why is this the correct answer?
A line in standard slope-intercept form is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. Comparing \(y=4x-10\) with this form gives \(m=4\) and \(c=-10\). Hence, option A is correct. In option B, the slope and the \(y\)-intercept have been interchanged. Exam tip: the coefficient of \(x\) gives the slope, while the constant term gives 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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