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What is an equation of the line that passes through the point ( − 2 , − 2 ) and is parallel to the line 5x − y = 4 ?

1 Answer

4 votes

Answer:

(-2,-2)

Explanation:

To find the equation of the line that passes through the point (-2,-2) and is parallel to the line 5x - y = 4, we need to first find the slope of the given line. We can rearrange the given equation into slope-intercept form y=5x-4, where the slope is 5.

Since parallel lines have the same slope, the slope of the line we want to find is also 5. We can use the point-slope formula y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.

Substituting m=5, x1=-2, and y1=-2, we get:

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

y+2 = 5x+10

y = 5x+8

Therefore, the equation of the line that passes through the point (-2,-2) and is parallel to the

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User Sgoettschkes
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