Question

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

Answer 1

Answer:

The answer is

$y = \frac{1}{4} x - \frac{19}{2}$

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

$y + 9 = \frac{1}{4} (x - 2) \\ y + 9 = \frac{1}{4} x - \frac{1}{2} \\ y = \frac{1}{4} x - \frac{1}{2} - 9$

We have the final answer as

$y = \frac{1}{4} x - \frac{19}{2}$

Hope this helps you