If the slope is (-4) and (m+c=3) in (y=mx+c), what is the (y)-intercept?
Answer and explanation
Correct answer: \(7\)
In the form \(y=mx+c\), \(m\) is the slope and \(c\) is the \(y\)-intercept. Given slope \(m=-4\). Substituting in \(m+c=3\) gives \(-4+c=3\), so \(c=7\). Choosing \(5\) would give \(m+c=1\), which does not satisfy the condition. Exam tip: In \(y=mx+c\), identify \(c\) directly as the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\(7\)
Why is this the correct answer?
In the form \(y=mx+c\), \(m\) is the slope and \(c\) is the \(y\)-intercept. Given slope \(m=-4\). Substituting in \(m+c=3\) gives \(-4+c=3\), so \(c=7\). Choosing \(5\) would give \(m+c=1\), which does not satisfy the condition. Exam tip: In \(y=mx+c\), identify \(c\) directly as the \(y\)-intercept.
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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