Question

How do you write an equation in standard form for a line passing through (4, 1), B(5, 2)?

Answer 1

General form:
y = ax + b
Line passing at A(4, 1):
1 = 4a + b -> b = 1 - 4a
Line passing at B(5, 2):
#2 = 5a + b = 5a + 1 - 4a -> 2 = a + 1 -> a = 1 -> and b = -3#

Equation: y = x - 3.

Check.
y passes at A(4, 1): -> 1 = 4 - 3 = 1 Correct
y passes at B(5, 2): --> 2 = 5 - 3 = 2 Correct