For this case we have that the generic equation of the line is given by:
[tex]y = mx + b
[/tex]
Where,
m: slope of the line
b: intersection with the y axis.
Since the line is parallel to PQ, then the slopes are equal.
We have then:
[tex]m = 1/4.
[/tex]
On the other hand we have:
[tex]b = -3
[/tex]
Substituting values we have:
[tex]y = (1/4) x - 3[/tex]
Answer:
The equation of the line that is parallel to line PQ and that has the and intercept b = -3 is:
[tex]y = (1/4) x - 3[/tex]
