If a line has slope (-5) and (y=3) at (x=0), which line is it?
Answer and explanation
Correct answer: \(y=-5x+3\)
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 \(y=3\) when \(x=0\); therefore, \(c=3\). Hence, the equation is \(y=-5x+3\). Option D has the correct slope but its \(y\)-intercept is \(-3\). Exam tip: the value of \(y\) when \(x=0\) is the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\(y=-5x+3\)
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 \(y=3\) when \(x=0\); therefore, \(c=3\). Hence, the equation is \(y=-5x+3\). Option D has the correct slope but its \(y\)-intercept is \(-3\). Exam tip: the value of \(y\) when \(x=0\) is 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.
