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Allisa [31]
2 years ago
12

Write an equation for a line perpendicular to y = 5x – 2 and passing through the point (-15,8) y=​

Mathematics
1 answer:
AleksandrR [38]2 years ago
8 0
The answer is y = -1/5x + 5

Perpendicular means the opposite reciprocal of the slope. The reciprocal of 5 would be 1/5. The opposite sign would be negative, so -1/5.

The equation that you use is y - y1 = m(x - x1)

The point is (-15,8).

x1 = -15
y1= 8
m= -1/5

y - 8 = -1/5(x - (-15)).

The 15 becomes positive.

y - 8 = -1/5(x+15)

Distribute

y - 8 = -1/5x - 3

Add 8 to both sides

y = -1/5x + 5

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(x,y), y is rise, x is run
unit rate is rise/run=15/6=5/2=2.5
unit rate is 2.5



unit rate is (1/2)/(2/5)=(1/2)(5/2)=5/4=1.25
unit rate is 1.25
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