SOLUTION: Which equation represents a line which is parallel to the line y=8/7x−6? a. 8x+7y=35 b. 8x−7y=56 c. 8y−7x=−24 d. 7x+8y=−8

Algebra ->  Length-and-distance -> SOLUTION: Which equation represents a line which is parallel to the line y=8/7x−6? a. 8x+7y=35 b. 8x−7y=56 c. 8y−7x=−24 d. 7x+8y=−8      Log On


   

Question 1180718: Which equation represents a line which is parallel to the line y=8/7x−6?
a. 8x+7y=35
b. 8x−7y=56
c. 8y−7x=−24
d. 7x+8y=−8
Found 3 solutions by mananth, ewatrrr, MathLover1:
Answer by mananth(16946) About Me  (Show Source):
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b. 8x−7y=56

Answer by ewatrrr(24785) About Me  (Show Source):
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parallel to the line y=8/7x−6 | same slope = (8/7)
a. 8x+7y=35 0r y = (-8/7)x + 5
b. 8x−7y=56 0r y = (8/7)x - 8 ***** same slope
c. 8y−7x=−24 0r y = (7/8)x -3
d. 7x+8y=−8 0r y = (-7/8)x - 1

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Which equation represents a line which is parallel to the line y=%288%2F7%29x%E2%88%926?
a line which is parallel to the given line must have same slope and given line has a slope %288%2F7%29
write each in slope intercept form
a.
8x%2B7y=35=>7y=-8x%2B35=>y=-%288%2F7%29x%2B5=> a slope is not same
b.
8x%E2%88%927y=56=>8x%E2%88%9256=7y=>%288%2F7%29x%E2%88%928=y=> a slope highlight%28IS%29 same =>a line is parallel to the line y=%288%2F7%29x%E2%88%926

c.
+8y%E2%88%927x=%E2%88%9224=>+8y=7x%E2%88%9224=>+y=%287%2F8%29x%E2%88%923=> a slope is not same
d.
7x%2B8y=-8=>8y=-7x-8=>y=-%287%2F8%29x-1=> a slope is not same (but it is negative reciprocal of the slope of given line, so this line is perpendicular to given line)

so, answer is
b.
8x%E2%88%927y=56=>8x%E2%88%9256=7y=>%288%2F7%29x%E2%88%928=y=> a slope highlight%28IS%29 same =>a line is parallel to the line y=%288%2F7%29x%E2%88%926

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%288%2F7%29x-6%2C+%288%2F7%29x-8%29+