Where will the line y = 2x − 10 cut the x-axis?
Answer and explanation
Correct answer: (5, 0)
Every point on the x-axis has y-coordinate zero. Therefore, to find where y = 2x − 10 cuts that axis, set y equal to 0: 0 = 2x − 10. Adding 10 gives 2x = 10, and dividing by 2 gives x = 5. The intersection point must then be (5, 0). Option A results from an incorrect sign when solving the equation. Option C is the y-intercept, obtained by setting x = 0, so it is not the x-axis intersection. Option D fails to satisfy the equation because 2(10) − 10 = 10, not 0. Hence Option B is correct. This is also the zero of the corresponding linear polynomial 2x − 10.
Frequently asked questions
What is the correct answer to this question?
(5, 0)
Why is this the correct answer?
Every point on the x-axis has y-coordinate zero. Therefore, to find where y = 2x − 10 cuts that axis, set y equal to 0: 0 = 2x − 10. Adding 10 gives 2x = 10, and dividing by 2 gives x = 5. The intersection point must then be (5, 0). Option A results from an incorrect sign when solving the equation. Option C is the y-intercept, obtained by setting x = 0, so it is not the x-axis intersection. Option D fails to satisfy the equation because 2(10) − 10 = 10, not 0. Hence Option B is correct. This is also the zero of the corresponding linear polynomial 2x − 10.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Geometrical meaning of the zeroes of a polynomial..
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