If (y=mx+3) passes through ( (4,23) ), what will (m) be?
Answer and explanation
Correct answer: 5
The line is (y=mx+3) and it passes through the point ((4,23)). Substituting (x=4) and (y=23) gives (23=4m+3). Hence, (4m=20), so (m=5). If 4 were used instead, the value of (y) would be 19, not 23. Exam tip: To use a point on a line, substitute its (x)- and (y)-coordinates in the equation.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The line is (y=mx+3) and it passes through the point ((4,23)). Substituting (x=4) and (y=23) gives (23=4m+3). Hence, (4m=20), so (m=5). If 4 were used instead, the value of (y) would be 19, not 23. Exam tip: To use a point on a line, substitute its (x)- and (y)-coordinates in 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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