Answer:
The answer is
[tex]y = - \frac{1}{4} x + 7[/tex]
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 - 6
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.
Equation of the line using point (12,4) and slope - 1/4 is
[tex]y - 4 = - \frac{1}{4} (x - 12) \\ y - 4 = - \frac{1}{4} x + 3 \\ y = - \frac{1}{4} x + 3 + 4[/tex]
We have the final answer as
[tex]y = - \frac{1}{4} x + 7[/tex]
Hope this helps you
