What is the (y)-intercept of the line (y=5x-6)?
Answer and explanation
Correct answer: -6
In the standard form \(y=mx+c\), \(c\) is the \(y\)-intercept because putting \(x=0\) gives \(y=c\). Here, in \(y=5x-6\), \(c=-6\); therefore, the \(y\)-intercept is \(-6\). The value \(5\) is the slope, not the intercept. Exam tip: To find the \(y\)-intercept, set \(x=0\).
Frequently asked questions
What is the correct answer to this question?
-6
Why is this the correct answer?
In the standard form \(y=mx+c\), \(c\) is the \(y\)-intercept because putting \(x=0\) gives \(y=c\). Here, in \(y=5x-6\), \(c=-6\); therefore, the \(y\)-intercept is \(-6\). The value \(5\) is the slope, not the intercept. Exam tip: To find the \(y\)-intercept, set \(x=0\).
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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