If a line has slope (2) and cuts the (y)-axis at ( (0,-5) ), what is its equation?
Answer and explanation
Correct answer: \(y=2x-5\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. Here, \(m=2\) and \(c=-5\), so the equation is \(y=2x-5\). The option \(y=2x+5\) has the correct slope but the wrong y-intercept, \(+5\). Exam tip: use the point \((0,c)\) to check the sign of the y-intercept directly.
Frequently asked questions
What is the correct answer to this question?
\(y=2x-5\)
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, \(m=2\) and \(c=-5\), so the equation is \(y=2x-5\). The option \(y=2x+5\) has the correct slope but the wrong y-intercept, \(+5\). Exam tip: use the point \((0,c)\) to check the sign of the y-intercept directly.
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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