Find the opposite reciprocal in quesrions 13-1513) 214) -3/415) 1/3

Mathematics

1 answer:

larisa86 [58]2 years ago

6 0

13.) - 1/2
14.) 1 1/3 (4/3)
15.) - 3

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Given the equation -5x+2y=-10 what is the equation of the line perpendicular to the line?

meriva

Answer:

The equation of the perpendicular line would be y = -2/5x - 1

Step-by-step explanation:

In order to find this line, we must first find the slope of the original line. We do this by solving for y.

-5x + 2y = -10

2y = 5x - 10

y = 5/2x - 5

This shows us a slope of 5/2. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negative 5/2 to get -5/2 and then we flip it to get -2/5. Now that we have this, we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 1 = -2/5(x + 5)

y - 1 = -2/5x - 2

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