Which line gives (y=-8) at (x=0) and has slope (6)?
Answer and explanation
Correct answer: \(y=6x-8\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. Here, \(m=6\), and when \(x=0\), \(y=-8\); therefore \(c=-8\). Hence, the equation is \(y=6x-8\). In \(y=-8x+6\), the slope is \(-8\), so it is not correct. Exam tip: in \(y=mx+c\), the coefficient of \(x\) is always the slope.
Frequently asked questions
What is the correct answer to this question?
\(y=6x-8\)
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, \(m=6\), and when \(x=0\), \(y=-8\); therefore \(c=-8\). Hence, the equation is \(y=6x-8\). In \(y=-8x+6\), the slope is \(-8\), so it is not correct. Exam tip: in \(y=mx+c\), the coefficient of \(x\) is always the slope.
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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