This document discusses the formula for calculating the equation of a line given two points. It explains that the equation is y=mx+b, where m is the slope calculated as the rise over the run between the two points. Using the points (1,2) and (3,4), it calculates the slope m as 1 and the y-intercept b as 1, giving the equation of the line as y=x+1. It also provides the formulas for calculating the slope and solving for b given any two points on a line.

1. Algebra:The Equation of the Line

2. (1 , 2) (3 , 4)The Formula of The Equation ofthe line is:y = mx + b

3. (1 , 2) (3 , 4)The Formula for the Slope (m):m = The slope (m) = 1

4. The Formula of The Equation ofthe line.y = mx + b y = 1x + bSolve for “b”:(1 , 2)y = 1x + b 2 = 1 + bb = 2 – 1 b = 1(1 , 2) (3 , 4)

5. (-3,5) (2, -6)mORm

6. (-3,5) (2, -6)y = mx+b by b Solve for b5 Equation of the line y 5