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What is the equation of a line parallel to -5x + y= 2 that passes through the point with coordinates (-2,1)?

User Luispedro
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1 Answer

3 votes

Answer:

y=5x+11

Explanation:

You can solve this with the point-slope formula: y-y1=m(x-x1). The line is parallel; both slopes are equivalent.

First we have to rewrite the original equation, which is rewritten into y=5x+2 by subtracting -5x on both sides.

Next, plug in the coordinates we have into the point-slope formula (-2, 1), along with the slope from the original equation (5). To check, we can plug the coordinates back into the equation.

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

y-1=5x+10

y=5x+11

Check:

(1)=5(-2)+11

1=-10+11

1=1

User Shpendi
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