Respuesta :

Stephen46

Answer:

The answer is

[tex]y = 4x - 36[/tex]

Step-by-step 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 = 4x + 5

Comparing with the general equation above

Slope / m = 4

Since the lines are parallel their slope are also the same

So slope of parallel line = 4

Equation of the line using point (7,-8) and slope 4 is

[tex]y + 8 = 4(x - 7) \\ y + 8 = 4x - 28 \\ y = 4x - 28 - 8[/tex]

We have the final answer as

[tex]y = 4x - 36[/tex]

Hope this helps you

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