What is the zero of the line \(y=-3x-12\)?
Answer and explanation
Correct answer: -4
The zero is the x-value where y = 0. Set \(y=0\) in \(y=-3x-12\): \(-3x-12=0\) ⇒ \(-3x=12\) ⇒ \(x=-4\). So the zero is \(-4\). The distractor \(4\) is wrong due to the sign; \(12\) and \(-12\) do not satisfy the equation. Exam tip: to find the x-intercept of a line set \(y=0\); here the x-intercept is \((-4,0)\).
Frequently asked questions
What is the correct answer to this question?
-4
Why is this the correct answer?
The zero is the x-value where y = 0. Set \(y=0\) in \(y=-3x-12\): \(-3x-12=0\) ⇒ \(-3x=12\) ⇒ \(x=-4\). So the zero is \(-4\). The distractor \(4\) is wrong due to the sign; \(12\) and \(-12\) do not satisfy the equation. Exam tip: to find the x-intercept of a line set \(y=0\); here the x-intercept is \((-4,0)\).
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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