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boyakko [2]
2 years ago
7

Consider the line y=-5/9x+6

Mathematics
1 answer:
Arlecino [84]2 years ago
4 0

Answer:

See below in bold.

Step-by-step explanation:

Use the point-slope form of a straight line

y - y1 = m(x - x1)

Here m = -5/9 , x1 = 9 and y1 = -3:, so

y - -3 = -5/9(x - 9)

y + 3 = -5/9x + 5

y = -5/9x + 2  is the equation parallel to the given line.

The  line perpendicular to the given line will have a slope of - 1 / -5/9

= 9/5 so its equation is

y  + 3 = 9/5(x - 9)

y = 9/5x - 81/5 - 3

y = 9/5x - 96/5 .

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