What is the slope of the equation (4x+2y=10)?
Answer and explanation
Correct answer: \(-2\)
Write the equation in slope-intercept form: \(4x+2y=10\Rightarrow 2y=-4x+10\Rightarrow y=-2x+5\). In the form \(y=mx+c\), the coefficient of \(x\) is the slope \(m\). Hence, the slope is \(-2\). Here, \(5\) is the y-intercept, not the slope. Exam tip: Rearrange a linear equation into \(y=mx+c\) before identifying its slope.
Frequently asked questions
What is the correct answer to this question?
\(-2\)
Why is this the correct answer?
Write the equation in slope-intercept form: \(4x+2y=10\Rightarrow 2y=-4x+10\Rightarrow y=-2x+5\). In the form \(y=mx+c\), the coefficient of \(x\) is the slope \(m\). Hence, the slope is \(-2\). Here, \(5\) is the y-intercept, not the slope. Exam tip: Rearrange a linear equation into \(y=mx+c\) before identifying its 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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