Question

3
Find the equation of the line that passes through the point (4, 17) and is parallel to:
y= 5x + 2
****Hint: use the point-slope formula to help you*****

Answer 1

When 2 lines are parallel to each other mean than they have same gradient
y=5x +2
Gradient=5

Let the parallel equation be y=5x +c
Since this equation pass through (4,7), means that the point satisfy the parallel equation
7=5(4)+c
C=7-20=-13
So the parallel equation required is y=5x-13

Hope this can help.