If (y=mx+2) passes through ( (3,17) ), what will (m) be?
Answer and explanation
Correct answer: 5
Substitute the coordinates of the given point into the line: y=17 and x=3. Thus, 17=3m+2, so 3m=15 and m=5. If m=4, then y=4×3+2=14, which does not match the given y-coordinate 17. Exam tip: To check whether a point lies on a line, substitute its x- and y-coordinates into the equation.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Substitute the coordinates of the given point into the line: y=17 and x=3. Thus, 17=3m+2, so 3m=15 and m=5. If m=4, then y=4×3+2=14, which does not match the given y-coordinate 17. Exam tip: To check whether a point lies on a line, substitute its x- and y-coordinates into the 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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