The line (y=mx+5) passes through ( (-3,14) ). What is its slope?
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Answer and explanation
Correct answer: \(-3\)
Substitute the point \((-3,14)\) in \(y=mx+5\): \(14=m(-3)+5\). Thus, \(14=-3m+5\), so \(-3m=9\) and \(m=-3\). Therefore, the slope is \(-3\). The number \(5\) is the y-intercept, not the slope. Exam tip: substitute the point's x- and y-coordinates in the line equation carefully.
Frequently asked questions
What is the correct answer to this question?
\(-3\)
Why is this the correct answer?
Substitute the point \((-3,14)\) in \(y=mx+5\): \(14=m(-3)+5\). Thus, \(14=-3m+5\), so \(-3m=9\) and \(m=-3\). Therefore, the slope is \(-3\). The number \(5\) is the y-intercept, not the slope. Exam tip: substitute the point's x- and y-coordinates in the line equation carefully.
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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