If the line (y=mx-6) passes through ( (3,9) ), what is the slope?
Answer and explanation
Correct answer: \(5\)
Substitute the given point \((3,9)\) into \(y=mx-6\): \(9=3m-6\). Hence, \(3m=15\), so \(m=5\). Therefore, the slope is \(5\). If \(m=4\), the corresponding \(y\)-value would be 6, not 9. Exam tip: To use a point on a line, substitute both its coordinates into the line equation.
Frequently asked questions
What is the correct answer to this question?
\(5\)
Why is this the correct answer?
Substitute the given point \((3,9)\) into \(y=mx-6\): \(9=3m-6\). Hence, \(3m=15\), so \(m=5\). Therefore, the slope is \(5\). If \(m=4\), the corresponding \(y\)-value would be 6, not 9. Exam tip: To use a point on a line, substitute both its coordinates into the line equation.
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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