Answer:
The line would be y = 3/7x + 2
Step-by-step explanation:
First we need to find the slope of the original line. For that we use the slope equation below.
m(slope) = (y2 - y1)/(x2 - x1)
m = (9 - 6)/(4 - -3)
m = 3/7
Now since the original slope is 3/7. And since parallel lines have the same slope, we know our new line will have that same slope. Now, we can use that slope and the point in point-slope form and solve for y.
y - y1 = m(x - x1)
y - 8 = 3/7(x - 14)
y - 8 = 3/7x - 6
y = 3/7x + 2
