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NISA [10]
3 years ago
14

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

Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0

Answer:

The answer is

<h2>y + 2x = 2</h2>

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

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

<h3>y - 4 =  - 2(x + 1) \\ y - 4 =  - 2x - 2 \\ y + 2x =  - 2 + 4</h3>

We have the final answer as

<h3>y + 2x = 2</h3>

Hope this helps you

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