If y = -3x + b passes through the point (5, -4), what is b?
Answer and explanation
Correct answer: 11
A point lies on a line when its coordinates satisfy the line’s equation. Substitute x = 5 and y = -4 into y = -3x + b: -4 = -3(5) + b = -15 + b. Adding 15 to both sides gives b = 11. Thus the y-intercept parameter is 11, and option A is correct. Option B would result from an arithmetic sign error, while option C incorrectly combines the negative slope and x-coordinate. Option D does not satisfy the original equation, because -3(5) + 15 equals 0 rather than -4.
Frequently asked questions
What is the correct answer to this question?
11
Why is this the correct answer?
A point lies on a line when its coordinates satisfy the line’s equation. Substitute x = 5 and y = -4 into y = -3x + b: -4 = -3(5) + b = -15 + b. Adding 15 to both sides gives b = 11. Thus the y-intercept parameter is 11, and option A is correct. Option B would result from an arithmetic sign error, while option C incorrectly combines the negative slope and x-coordinate. Option D does not satisfy the original equation, because -3(5) + 15 equals 0 rather than -4.
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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