What is A and B so that the line Ay = Bx + 1 passes through points (1, 3) and (5,13) in the Cartesian plane?
I have been trying to solve it using the slope intercept equation to no avail. This is taken from Dale Hoffman's Contemprary Calculus.
First, I would reorder to get canonical form,
y = (B/A) * x + (1/A) = m * x + b
Now we find slope (m):
m = dy / dx = (13 - 3) / (5 - 1) = 2.5
sub in to find b:
3 = 2.5 * 1 + b
b = 0.5
Now sub back to find the values you want,
b = 0.5 = 1 / A
A = 2
m = 2.5 = B / 2
B = 5