Question

What is the equation of a line that is parallel to the line y= -5x + 4 and passes through 1

the point (-1,4)

Answer 1

The answer is

`y = - 5x - 1`

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 = - 5x + 4

Comparing with the general equation above

Slope / m = - 5

The equation of the line using point (-1,4) and slope - 5 is

`y - 4 = - 5(x + 1) \\ y - 4 = - 5x - 5 \\ y = - 5x - 5 + 4`

We have the final answer as

`y = - 5x - 1`

Hope this helps you