What is the y-intercept of 3x + y = 18?
Answer and explanation
Correct answer: (0, 18)
The governing concept is the intercept of a graph. A y-intercept is the point where a line meets the y-axis, and every point on the y-axis has x = 0. Substitute x = 0 into 3x + y = 18: 3(0) + y = 18, so y = 18. Hence the intercept is the ordered pair (0, 18), making option C correct. Option A is the x-intercept because it results from setting y = 0. Options B and D confuse the coefficient 3 with an intercept or do not satisfy the required axis condition. The distinction between x = 0 and y = 0 is essential.
Frequently asked questions
What is the correct answer to this question?
(0, 18)
Why is this the correct answer?
The governing concept is the intercept of a graph. A y-intercept is the point where a line meets the y-axis, and every point on the y-axis has x = 0. Substitute x = 0 into 3x + y = 18: 3(0) + y = 18, so y = 18. Hence the intercept is the ordered pair (0, 18), making option C correct. Option A is the x-intercept because it results from setting y = 0. Options B and D confuse the coefficient 3 with an intercept or do not satisfy the required axis condition. The distinction between x = 0 and y = 0 is essential.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..
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