At which point does the line (y=2x+6) cut the (y)-axis?
Answer and explanation
Correct answer: \((0,6)\)
Every point on the y-axis has x-coordinate 0. Substituting x=0 in y=2x+6 gives y=2(0)+6=6. Hence, the line cuts the y-axis at \((0,6)\). Although \((2,6)\) has y-coordinate 6, its x-coordinate is not 0, so it is not on the y-axis. Exam tip: To find the y-intercept, always put x=0.
Frequently asked questions
What is the correct answer to this question?
\((0,6)\)
Why is this the correct answer?
Every point on the y-axis has x-coordinate 0. Substituting x=0 in y=2x+6 gives y=2(0)+6=6. Hence, the line cuts the y-axis at \((0,6)\). Although \((2,6)\) has y-coordinate 6, its x-coordinate is not 0, so it is not on the y-axis. Exam tip: To find the y-intercept, always put 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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
