Are the two linear equations parallel, perpendicular, or neither?
2y = 7x − 4
8y = -28x + 8
Options
A
Parallel
B
Perpendicular
C
Neither
Answer & Analysis
Answer
C
Analysis
To determine if the two lines are parallel, perpendicular, or neither, we need to convert both equations to slope-intercept form (y = mx + b) and compare their slopes.
Equation 1: 2y = 7x − 4
Solve for y:
The slope () is .
Equation 2: 8y = −28x + 8
Solve for y:
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