Which line has slope (0) and (y)-intercept (9)?
Answer and explanation
Correct answer: \(y=9\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. Substituting \(m=0\) and \(c=9\) gives \(y=0x+9=9\). Hence, the line is horizontal and meets the \(y\)-axis at 9. Although \(y=x+9\) has a \(y\)-intercept of 9, its slope is 1. Exam tip: a horizontal line always has an equation of the form \(y=\) constant.
Frequently asked questions
What is the correct answer to this question?
\(y=9\)
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. Substituting \(m=0\) and \(c=9\) gives \(y=0x+9=9\). Hence, the line is horizontal and meets the \(y\)-axis at 9. Although \(y=x+9\) has a \(y\)-intercept of 9, its slope is 1. Exam tip: a horizontal line always has an equation of the form \(y=\) constant.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
