Question

Find an

equation of the line through (1,8) and parallel to y = 4x + 3.
In slope intercept form

Answer 1

The answer is

`y = 4x + 4`

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