Question

Find an

Answer 1

Answer:

The answer is

$y = 4x + 4$

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

The original line is y = 4x + 3

Comparing with the general equation above

Slope = 4

Since the lines are parallel their slope are also the same

Slope of parallel line = 4

The equation of the line using point (1,8) and slope 4 is

$y - 8 = 4(x - 1) \\ y - 8 = 4x - 4 \\ y = 4x - 4 + 8$

We have the final answer as

$y = 4x + 4$

Hope this helps you