Which line gives (y=-10) at (x=0) and has slope (8)?
Answer and explanation
Correct answer: \(y=8x-10\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. Here, \(m=8\) and \(y=-10\) when \(x=0\), so \(c=-10\). Therefore, the line is \(y=8x-10\). Option C has the correct y-intercept but its slope is \(-8\). Exam tip: Substitute \(x=0\); the resulting value of \(y\) is the y-intercept.
Frequently asked questions
What is the correct answer to this question?
\(y=8x-10\)
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. Here, \(m=8\) and \(y=-10\) when \(x=0\), so \(c=-10\). Therefore, the line is \(y=8x-10\). Option C has the correct y-intercept but its slope is \(-8\). Exam tip: Substitute \(x=0\); the resulting value of \(y\) 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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