Question

What is the equation, in standard form, of the line passing through the points (3,-4) and (5,1)

Answer 1

slope = (1 + 4)/(5 - 3) = 5/2

y = mx + b
1 = 5/2(5) + b
1 = 25/2 + b
b = 1 - 25/2
b = -23/2

equation
y = 5/2x - 23/2

standard form
5/2x - y = 23/2
or
5x - 2y = 23

hope it helps