If a line has slope (-6) and (y=5) at (x=0), which line is it?
Answer and explanation
Correct answer: \(y=-6x+5\)
A line in slope-intercept form is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. Here, \(m=-6\), and \(y=5\) when \(x=0\), so \(c=5\). Therefore, the equation is \(y=-6x+5\). Option D has the correct slope but its \(y\)-intercept is \(-5\). Exam tip: the value of \(y\) at \(x=0\) is always the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\(y=-6x+5\)
Why is this the correct answer?
A line in slope-intercept form is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. Here, \(m=-6\), and \(y=5\) when \(x=0\), so \(c=5\). Therefore, the equation is \(y=-6x+5\). Option D has the correct slope but its \(y\)-intercept is \(-5\). Exam tip: the value of \(y\) at \(x=0\) is always 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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