If the line (y=mx-4) passes through ( (2,6) ), what is the slope?
Answer and explanation
Correct answer: 5
Since the point (2,6) lies on the line y=mx-4, substitute x=2 and y=6: 6=2m-4. Hence, 2m=10 and m=5. The value 4 could result from using the constant term -4 with an incorrect sign. Exam tip: When a point lies on a line, substitute both its coordinates directly into the equation.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Since the point (2,6) lies on the line y=mx-4, substitute x=2 and y=6: 6=2m-4. Hence, 2m=10 and m=5. The value 4 could result from using the constant term -4 with an incorrect sign. Exam tip: When a point lies on a line, substitute both its coordinates directly 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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