When (x+y=6) is written in (y=mx+c) form, what will be the slope?
Answer and explanation
Correct answer: \(-1\)
Rearranging \(x+y=6\) gives \(y=-x+6\). In \(y=mx+c\), the coefficient of \(x\) is the slope \(m\). Hence, the slope is \(-1\). Here, \(6\) is the y-intercept \(c\), not the slope. Exam tip: identify the coefficient of \(x\) after writing the equation in slope-intercept form.
Frequently asked questions
What is the correct answer to this question?
\(-1\)
Why is this the correct answer?
Rearranging \(x+y=6\) gives \(y=-x+6\). In \(y=mx+c\), the coefficient of \(x\) is the slope \(m\). Hence, the slope is \(-1\). Here, \(6\) is the y-intercept \(c\), not the slope. Exam tip: identify the coefficient of \(x\) after writing the equation in slope-intercept form.
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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