This handout is great for teaching GED 2014 math. This handout is not my creation but more my adaptation of information found in several popular resources. The PowerPoint slide picture is from the internet. If I run across again, I would like to give due credit.

1. Lambert. P 2014 Page 1
Teaching Notes: Slope Intercept
Forms for the Equation of a Line
Slope-
intercept
𝑦 = 𝒎𝑥 + 𝑏 Used when you have the slopeand the y-intercept.
Point-slope 𝑦 – 𝑦1 = 𝒎 (𝑥 – 𝑥1) (𝑋1, 𝑦2) is a point on the line.
Standard form 𝐴𝑥 + 𝐵𝑦 = 𝐶
If possible, A is nonnegative and A, B, and C are
relatively prime integers.
Two-intercept
𝑥
𝑎
+
𝑥
𝑏
= 1 Used when you have both intercepts.
Vertical 𝑥 = 𝑎 All points have x-coordinatea.
Horizontal 𝑦 = 𝑏 All points have y-coordinateb.
What I Have How to FindSlope (m) How to Findy-intercept (b)
Graph of a line with points
(𝑋1, 𝑦1) and (𝑋2, 𝑦2) 𝑚 =
𝑦2−𝑦1
𝑥2−𝑥1
b = y-coordinatewhereline
crosses y-axis
Graph of a line with rise,
Run, and 1 point (𝑥, 𝑦) 𝑚 =
𝑟𝑖𝑠𝑒
𝑅𝑢𝑛
b = y-coordinatewhereline
crosses y-axis
Slope coordinates of
point 1 (𝑥, 𝑦)
No graph
Already have
Use slope for m,
x-coordinatefor x,
y-coordinatefor y in y= mx + b,
and solvefor b
points (𝑋1, 𝑦1) and (𝑋2, 𝑦2 )
No graph
𝑚 =
𝑦2−𝑦1
𝑥2−𝑥1

2. Lambert. P 2014 Page 2