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When the line \(6x+2y=18\) is written in the form \(y=mx+c\), what is its slope \(m\)?
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Answer and explanation
Correct answer: -3
From the given equation, \(2y=-6x+18\). Dividing by 2 gives \(y=-3x+9\). Comparing this with \(y=mx+c\), the coefficient of \(x\) is \(m=-3\). Option 3 has the wrong sign. In an exam, identify the slope as the coefficient of \(x\) after isolating \(y\).
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What is the correct answer to this question?
-3
Why is this the correct answer?
From the given equation, \(2y=-6x+18\). Dividing by 2 gives \(y=-3x+9\). Comparing this with \(y=mx+c\), the coefficient of \(x\) is \(m=-3\). Option 3 has the wrong sign. In an exam, identify the slope as the coefficient of \(x\) after isolating \(y\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..
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