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`