When (8x+4y=28) is written in (y=mx+c) form, what are the slope and (y)-intercept?
Answer and explanation
Correct answer: \(m=-2,\ c=7\)
Move \(8x\) to the other side: \(4y=-8x+28\). Dividing by 4 gives \(y=-2x+7\). Comparing this with \(y=mx+c\), we get \(m=-2\) and \(c=7\). In option A, the y-intercept is correct, but the negative sign of the slope is missing. Exam tip: For \(Ax+By=C\), divide the whole equation by the coefficient of \(y\) after isolating the \(y\)-term.
Frequently asked questions
What is the correct answer to this question?
\(m=-2,\ c=7\)
Why is this the correct answer?
Move \(8x\) to the other side: \(4y=-8x+28\). Dividing by 4 gives \(y=-2x+7\). Comparing this with \(y=mx+c\), we get \(m=-2\) and \(c=7\). In option A, the y-intercept is correct, but the negative sign of the slope is missing. Exam tip: For \(Ax+By=C\), divide the whole equation by the coefficient of \(y\) after isolating the \(y\)-term.
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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