Question

Which equation represents a line that is parallel to y= -4x+3 and passes through the point (-3,2)

Answer 1

Answer:

The answer is

$y = - 4x - 14$

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

y = - 4x + 3

Comparing with the general equation above

Slope / m = - 4

Since the lines are parallel their slope are also the same

Slope of parallel line = (-3 , 2) and slope

- 4 is

$y - 2 = - 4(x + 3) \\ y + 2 = - 4x - 12 \\ y = - 4x - 12 - 2$

We have the final answer as

$y = - 4x - 14$

Hope this helps you