In the line (y=8x+6), by how much does (y) increase when (x) increases by (1)?
Answer and explanation
Correct answer: 8
In the form y=mx+c, m is the slope. Here, the coefficient of x is 8, so the slope is 8. Therefore, when x increases by 1, y increases by 8. The number 6 is the y-intercept, which gives the value of y when x=0; it is not the rate of increase. Exam tip: In y=mx+c, identify the coefficient of x to find the slope quickly.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
In the form y=mx+c, m is the slope. Here, the coefficient of x is 8, so the slope is 8. Therefore, when x increases by 1, y increases by 8. The number 6 is the y-intercept, which gives the value of y when x=0; it is not the rate of increase. Exam tip: In y=mx+c, identify the coefficient of x to find the slope quickly.
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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