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If (y=-2x+c) passes through ( (4,1) ), what will (c) be?
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Answer and explanation
Correct answer: 9
Substitute the point (4,1) into y=-2x+c: 1=-2(4)+c. Thus, 1=-8+c, so c=9. If c were 8, the right-hand side would be 0, not the given y-coordinate 1. Exam tip: To find an unknown constant in a line, substitute the coordinates of the given point into its equation.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
Substitute the point (4,1) into y=-2x+c: 1=-2(4)+c. Thus, 1=-8+c, so c=9. If c were 8, the right-hand side would be 0, not the given y-coordinate 1. Exam tip: To find an unknown constant in a line, substitute the coordinates of the given point into its 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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