Question

Find the equation of the line that passes through points A and B (4,7) (2,3)

Answer 1

y/x =
(7-3)/(4-2) =
4 / 2 =
2

y= ax + b. With a = 2 so...
y = 2x + b
This goes through (4,7) and (2,3)

7 = (2 x 4) + b
7 = 8 + b
-1 = b

Or

3 = (2 x 2) + b
3 = 4 + b
-1 = b

So the answer is
y = 2x -1