Write an equation in slope-intercept form of a line that passes through the point (14,8) and is parallel to the line that passes through the points (4,9) and (-3,6).

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

0.02040816326