The line (y=mx+9) passes through ( (-2,3) ). What is its slope?
Answer and explanation
Correct answer: \(3\)
The point \((-2,3)\) lies on the line \(y=mx+9\). Substituting \(x=-2\) and \(y=3\) gives \(3=-2m+9\). Hence, \(-2m=-6\), so \(m=3\). If \(-3\) is used, the point gives \(y=15\), so it is incorrect. Exam tip: To find an unknown slope, substitute the coordinates of the given point into the line equation.
Frequently asked questions
What is the correct answer to this question?
\(3\)
Why is this the correct answer?
The point \((-2,3)\) lies on the line \(y=mx+9\). Substituting \(x=-2\) and \(y=3\) gives \(3=-2m+9\). Hence, \(-2m=-6\), so \(m=3\). If \(-3\) is used, the point gives \(y=15\), so it is incorrect. Exam tip: To find an unknown slope, substitute the coordinates of the given point 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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