Answer:
Step-by-step explanation:
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Parallel lines have equal slopes.
Converting the given into slope-intercept form:
- 2x + 3y = 15
- 3y = -2x + 15
- y = -2/3x + 5
Option B is the parallel line with different y-intercept
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Perpendicular lines have negative reciprocal slopes.
Converting the given into slope-intercept form:
- x + 3y = 15
- 3y = -x + 15
- y = -1/3x + 5
Perpendicular line will have a slope of
The equation will be:
to find b using the given point (-2. 5)
- 5 = 3*(-2) + b
- 5 = -6 + b
- 5 + 6 = b
- b = 11
So the line is:
or
- -3x + y = 11 in standard form
