Which line gives (y=12) at (x=0) and has slope (-4)?
Answer and explanation
Correct answer: \(y=-4x+12\)
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 \(y=12\) when \(x=0\), so \(c=12\). Therefore, the equation is \(y=-4x+12\). Option A has the correct y-intercept but its slope is \(+4\). Exam tip: Substitute \(x=0\) to identify the y-intercept directly from an equation.
Frequently asked questions
What is the correct answer to this question?
\(y=-4x+12\)
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 \(y=12\) when \(x=0\), so \(c=12\). Therefore, the equation is \(y=-4x+12\). Option A has the correct y-intercept but its slope is \(+4\). Exam tip: Substitute \(x=0\) to identify the y-intercept directly from an equation.
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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