Answer:
The answer is
[tex]y = 3x + 5[/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 line parallel to 3x - y = 14 we must first find the slope of 3x - y = 14.
So we have
y = 3x - 14
Comparing with the general equation above
Slope / m = 3
Since the lines are parallel their slope are also the same
So slope of parallel line = 3
Equation of the line using point ( - 4 , -7) and slope 3 is
[tex]y + 7 = 3(x + 4) \\ y + 7 = 3x + 12 \\ y = 3x + 12 - 7[/tex]
We have the final answer as
[tex]y = 3x + 5[/tex]
Hope this helps you
