Question

What is an equation of the line that passes through the point (-1, 4) and is parallel

to the line 2x + y = 1?

Answer 1

The answer is

y + 2x = 2

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 2x + y = 1

We must first write the equation in the general form above

That's

y = - 2x + 1

Comparing with the general equation above

Slope = - 2

Since the lines are parallel their slope are also the same

Slope of parallel line = - 2

So the equation of the line using point

( - 1 , 4) and slope - 2 is

`y - 4 = - 2(x + 1) \\ y - 4 = - 2x - 2 \\ y + 2x = - 2 + 4`

We have the final answer as

y + 2x = 2

Hope this helps you