Question 1181785
<font color=black size=3>
The given line is y = (1/2)x - 7
It's in y = mx+b form where m is the slope and b is the y intercept.


We have m = 1/2
Any line parallel to this will have the same slope but different y intercept.


Plug in that value of m, along with (x,y) = (4,-2) and solve for b
y = mx+b
-2 = (1/2)*4+b
-2 = 2+b
-2-2 = b
-4 = b
b = -4


Answer: The equation of the parallel line is <font color = red>y = (1/2)x-4</font>


We can verify this by plugging x = 4 to get
y = (1/2)x-4
y = (1/2)*4-4
y = 2 - 4
y = -2
Showing that (x,y) = (4,-2) is on the line
</font>