If the line (y=-3x+c) has slope (-3), what does (c) represent?
Answer and explanation
Correct answer: y-intercept
In the form y=mx+c, m is the slope and c is the y-intercept. Here, putting x=0 gives y=c, so the line meets the y-axis at (0,c). The slope -3 describes the steepness and direction of the line, not its y-intercept. Exam tip: In y=mx+c, identify the constant term directly as the y-intercept.
Frequently asked questions
What is the correct answer to this question?
y-intercept
Why is this the correct answer?
In the form y=mx+c, m is the slope and c is the y-intercept. Here, putting x=0 gives y=c, so the line meets the y-axis at (0,c). The slope -3 describes the steepness and direction of the line, not its y-intercept. Exam tip: In y=mx+c, identify the constant term directly as the y-intercept.
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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