At which point does the line (y=-2x-11) cut the (y)-axis?
Answer and explanation
Correct answer: (0,-11)
To find the y-intercept, put \(x=0\). Substituting \(x=0\) in \(y=-2x-11\) gives \(y=-11\). Therefore, the line cuts the y-axis at \((0,-11)\). The point \((-11,0)\) lies on the x-axis, so it cannot be the y-intercept. Exam tip: every point on the y-axis has x-coordinate 0.
Frequently asked questions
What is the correct answer to this question?
(0,-11)
Why is this the correct answer?
To find the y-intercept, put \(x=0\). Substituting \(x=0\) in \(y=-2x-11\) gives \(y=-11\). Therefore, the line cuts the y-axis at \((0,-11)\). The point \((-11,0)\) lies on the x-axis, so it cannot be the y-intercept. Exam tip: every point on the y-axis has x-coordinate 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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