Question

the slope of line PQ is m= 1/4. find the equation of the line that is parallel to line PQ and that has the y intercept b= -3

Answer 1

For this case we have that the generic equation of the line is given by:
 $y = mx + b$
 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:
 $m = 1/4.$
 On the other hand we have:
 $b = -3$
 Substituting values we have:
 $y = (1/4) x - 3$
 Answer:
 The equation of the line that is parallel to line PQ and that has the and intercept b = -3 is:
 $y = (1/4) x - 3$