Question

Passing through (-7, -3) and parallel to the line whose equation is y = - 4x + 1

write in point slope form

Answer 1

The answer is

y = - 4x - 31

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 + 1

Comparing with the general equation above

Slope / m = - 4

Since the lines are parallel their slope are also the same

Slope of parallel line = - 4

So the equation of the line using point

(-7, -3) is

`y + 3 = - 4(x + 7) \\ y + 3 = - 4x - 28 \\ y = - 4x - 28 - 3`

We have the final answer as

y = - 4x - 31

Hope this helps you