Answer:
The answer is
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 = - 2x + 7
Comparing with the general equation above
Slope = - 2
Since the lines are parallel their slope are also the same
Slope of parallel line = - 2
The equation of the line using point (-1, 3) and slope - 2 is
[tex]y - 3 = - 2(x + 1) \\ y - 3 = - 2x - 2 \\ y = - 2x - 2 + 3[/tex]
We have the final answer as
[tex]y = - 2x + 1 \\ [/tex]
Hope this helps you
