If the graph of the line \(y = x + 7\) cuts the x-axis, what is the zero (x-intercept)?
Answer and explanation
Correct answer: -7
The x-axis corresponds to y = 0, so set y = 0 in \(y = x + 7\): \(0 = x + 7\) ⇒ \(x = -7\). Thus the zero (x-intercept) is -7. Option A (7) is the common sign-error distractor; options C and D do not satisfy the equation. Exam tip: to find an x-intercept of any line, put y = 0 and solve for x.
Frequently asked questions
What is the correct answer to this question?
-7
Why is this the correct answer?
The x-axis corresponds to y = 0, so set y = 0 in \(y = x + 7\): \(0 = x + 7\) ⇒ \(x = -7\). Thus the zero (x-intercept) is -7. Option A (7) is the common sign-error distractor; options C and D do not satisfy the equation. Exam tip: to find an x-intercept of any line, put y = 0 and solve for x.
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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