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If (y=mx+3) passes through ( (4,23) ), what will (m) be?

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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.

Related tags

Linear EquationsSlopeY-InterceptSubstitutionCoordinate Geometry

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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