Are the two linear equations parallel, perpendicular, or neither?
3x − 6y = 12
3y = −6x − 9
Options
A
Parallel
B
Perpendicular
C
Neither
Answer & Analysis
Answer
B
Analysis
To determine whether the two linear equations are parallel, perpendicular, or neither, let's convert both equations to slope-intercept form (y = mx + b) to identify their slopes.
Equation 1:
Solve for y:
Here, the slope () is .
Equation 2:
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