If a line has slope (4) and cuts the (y)-axis at ( (0,-7) ), what is its equation?
Answer and explanation
Correct answer: \(y=4x-7\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. Here, \(m=4\) and \(c=-7\), so the equation is \(y=4x-7\). Although \(y=4x+7\) has the correct slope, its y-intercept is \(+7\). Exam tip: From the point \((0,c)\), read the sign of the y-intercept carefully.
Frequently asked questions
What is the correct answer to this question?
\(y=4x-7\)
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. Here, \(m=4\) and \(c=-7\), so the equation is \(y=4x-7\). Although \(y=4x+7\) has the correct slope, its y-intercept is \(+7\). Exam tip: From the point \((0,c)\), read the sign of the y-intercept carefully.
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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