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What is equation of a line that is parallel to the line y=5x+8 and passes through the point (1,-3)

User Mekka
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1 Answer

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Answer:

The answer is


y = 5x - 8

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line.

From the question , the original line is

y = 5x + 8

Comparing with the general equation above

Slope / m = 5

Since the lines are parallel their slope are also the same

Slope of parallel line = 5

Equation of the line using point (1,-3) and slope 5 is


y + 3 = 5(x - 1) \\ y + 3 = 5x - 5 \\ y = 5x - 5 - 3

We have the final answer as


y = 5x - 8

Hope this helps you

User Quba
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4.5k points