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Sagot :
Answer:
- 50. B
- 51. -3x + y = 11
Step-by-step explanation:
50......................................................................
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
51.......................................................................
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
- m*(-1/3) = - 1
- m = 3
The equation will be:
- y = 3x + b
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:
- y = 3x + 11
or
- -3x + y = 11 in standard form
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