What is the slope of the equation (2y=6x+10)?
Answer and explanation
Correct answer: 3
To find the slope, write the equation in the form \(y=mx+c\). Dividing \(2y=6x+10\) by 2 gives \(y=3x+5\). The coefficient of \(x\) is 3, so the slope is \(m=3\). Taking 6 as the slope is incorrect because it is the coefficient before making the coefficient of \(y\) equal to 1. Exam tip: after isolating \(y\), the coefficient of \(x\) is the slope.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
To find the slope, write the equation in the form \(y=mx+c\). Dividing \(2y=6x+10\) by 2 gives \(y=3x+5\). The coefficient of \(x\) is 3, so the slope is \(m=3\). Taking 6 as the slope is incorrect because it is the coefficient before making the coefficient of \(y\) equal to 1. Exam tip: after isolating \(y\), the coefficient of \(x\) is the slope.
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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