Which line has slope (-5) and (y)-intercept (6)?
Answer and explanation
Correct answer: \(y=-5x+6\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. Substituting \(m=-5\) and \(c=6\) gives \(y=-5x+6\). Option A has a y-intercept of 6, but its slope is \(+5\), not \(-5\). Exam tip: in \(y=mx+c\), the coefficient of \(x\) is the slope.
Frequently asked questions
What is the correct answer to this question?
\(y=-5x+6\)
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. Substituting \(m=-5\) and \(c=6\) gives \(y=-5x+6\). Option A has a y-intercept of 6, but its slope is \(+5\), not \(-5\). Exam tip: in \(y=mx+c\), the coefficient of \(x\) is 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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