If a line has slope (7) and (y)-intercept (-2), which equation is correct?
Answer and explanation
Correct answer: \(y=7x-2\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. Substituting \(m=7\) and \(c=-2\) gives \(y=7x-2\). In option C, the intercept has the wrong sign because its \(y\)-intercept is \(+2\). Exam tip: the coefficient of \(x\) gives the slope, while the constant term gives the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\(y=7x-2\)
Why is this the correct answer?
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. Substituting \(m=7\) and \(c=-2\) gives \(y=7x-2\). In option C, the intercept has the wrong sign because its \(y\)-intercept is \(+2\). Exam tip: the coefficient of \(x\) gives the slope, while the constant term gives 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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