Question
Which equation of a line is Parallel to the equation -4x + 3y = 12?
A. y = 4x + 8
B. y = 3x + 12
C. y = x + 6
D. y=-2 +4
A. y = 4x + 8
B. y = 3x + 12
C. y = x + 6
D. y=-2 +4
Answers
GPT 3.5
To determine which equation of a line is parallel to the given equation -4x + 3y = 12, we need to find a line that has the same slope.
The given equation can be rewritten in slope-intercept form (y = mx + b) by isolating y:
3y = 4x + 12
y = (4/3)x + 4
The slope of the given equation is 4/3.
By examining the answer choices, the line that has the same slope (4/3) is y = (4/3)x + 8.
Therefore, the correct answer is A. y = 4x + 8.
The given equation can be rewritten in slope-intercept form (y = mx + b) by isolating y:
3y = 4x + 12
y = (4/3)x + 4
The slope of the given equation is 4/3.
By examining the answer choices, the line that has the same slope (4/3) is y = (4/3)x + 8.
Therefore, the correct answer is A. y = 4x + 8.