What are the slope and (y)-intercept of the line (4y=8x+12)?
Answer and explanation
Correct answer: Slope \(2\) and \(y\)-intercept \(3\)
Divide both sides of \(4y=8x+12\) by \(4\) to get \(y=2x+3\). In the standard form \(y=mx+c\), \(m\) is the slope and \(c\) is the \(y\)-intercept. Therefore, the slope is \(2\) and the \(y\)-intercept is \(3\). Option A incorrectly uses the coefficients before dividing by \(4\). Exam tip: first rewrite the equation in the form \(y=mx+c\) before identifying the slope and intercept.
Frequently asked questions
What is the correct answer to this question?
Slope \(2\) and \(y\)-intercept \(3\)
Why is this the correct answer?
Divide both sides of \(4y=8x+12\) by \(4\) to get \(y=2x+3\). In the standard form \(y=mx+c\), \(m\) is the slope and \(c\) is the \(y\)-intercept. Therefore, the slope is \(2\) and the \(y\)-intercept is \(3\). Option A incorrectly uses the coefficients before dividing by \(4\). Exam tip: first rewrite the equation in the form \(y=mx+c\) before identifying the slope and 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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