The equation of the line that passing through 2 given
points is:
(x2 - x1)/(x - x1) = (y2 - y1)/(y -
y1)
We'll identify x1 = 2, x2 = 5, y1 = 3 , y2 =
8.
We'll substitute them into the
formula:
(5 - 2)/(x - 2) = (8 - 3)/(y -
3)
3/(x - 2) = 5/(y - 3)
We'll
cross multiply:
5(x - 2) = 3(y -
3)
We'll remove the
brackets:
5x - 10 = 3y -
9
We'll add 9 both sides:
3y =
5x - 10 + 9
3y = 5x - 1
We'll
divide by 3:
y = 5x/3 -
1/3
The equation of the line that passing
through the points (2,3) and (5,8) is:
y = 5x/3 -
1/3
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