Which line gives (y=-2) at (x=0) and has slope (-5)?
Answer and explanation
Correct answer: \(y=-5x-2\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. Here, \(m=-5\), and at \(x=0\), \(y=-2\); therefore, \(c=-2\). Hence, the line is \(y=-5x-2\). Option D has the correct slope but its y-intercept is \(+2\). Exam tip: Put \(x=0\) in an equation to identify its y-intercept directly.
Frequently asked questions
What is the correct answer to this question?
\(y=-5x-2\)
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. Here, \(m=-5\), and at \(x=0\), \(y=-2\); therefore, \(c=-2\). Hence, the line is \(y=-5x-2\). Option D has the correct slope but its y-intercept is \(+2\). Exam tip: Put \(x=0\) in an equation to identify its 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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