What are the slope and y-intercept of 3x - 4y + 12 = 0?
Answer and explanation
Correct answer: Slope 3/4, y-intercept 3
Use y = mx + c to identify the slope and y-intercept. Rearrange 3x - 4y + 12 = 0 by moving the other terms: -4y = -3x - 12. Dividing by -4 gives y = (3/4)x + 3. Thus m = 3/4 and c = 3, so option A is correct. The negative coefficient of y must be handled carefully; dividing the entire equation by -4 changes both signs. Option B keeps the wrong signs, option C confuses the coefficient of y with the slope, and option D uses coefficients from the unrearranged equation rather than the slope-intercept form.
Frequently asked questions
What is the correct answer to this question?
Slope 3/4, y-intercept 3
Why is this the correct answer?
Use y = mx + c to identify the slope and y-intercept. Rearrange 3x - 4y + 12 = 0 by moving the other terms: -4y = -3x - 12. Dividing by -4 gives y = (3/4)x + 3. Thus m = 3/4 and c = 3, so option A is correct. The negative coefficient of y must be handled carefully; dividing the entire equation by -4 changes both signs. Option B keeps the wrong signs, option C confuses the coefficient of y with the slope, and option D uses coefficients from the unrearranged equation rather than the slope-intercept form.
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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