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oksano4ka [1.4K]
2 years ago
9

Write the equation of the line that is parallel to y=1/4x+5 and passes through (2,-9)

Mathematics
1 answer:
Tamiku [17]2 years ago
8 0

Answer:

The answer is

<h2>y =  \frac{1}{4} x -  \frac{19}{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

From the question the original line is

y=1/4x+5

Comparing with the general equation above

Slope = 1/4

Since the lines are parallel their slope are also the same

Slope of parallel line = 1/4

So the equation of the line using point

(2,-9) and slope 1/4 is

<h3>y + 9  =  \frac{1}{4} (x - 2) \\ y + 9 =  \frac{1}{4} x -  \frac{1}{2}  \\ y =  \frac{1}{4} x -  \frac{1}{2}  - 9</h3>

We have the final answer as

<h3>y =  \frac{1}{4} x -  \frac{19}{2}</h3>

Hope this helps you

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