1. The equation of a line - Equation of a line - Slope - Y intercept
y = mx + b
- Equation of a line
- Slope
- Y intercept
-when given slope and y intercept
-when given slope and a point
-when given two ordered pairs

2. Equation of a line y m x b y = m*x + b
Y coordinate of a point on the line
X coordinate of a point on the line
Slope of the line
Y intercept, the point on the y axis
that the line passes through m x b

3. Slope Calculating Slope y = m*x + b Slope is represented by m
Slope is Rise/Run
When given two points, (x1,y1), (x2,y2)
m = (y2-y1)/(x2-x1)
Example

4. Slope Calculating Slope y = m*x + b Slope is represented by m
Slope is Rise/Run
When given an ordered pair, (x,y), and y intercept, b,
Substitute x
Substitute y
Substitute b
Solve for m
Example

5. Calculating y intercept
y = mx + b
Y intercept is represented by b
When given m and an ordered pair, (x,y), plug in y,x, and m and solve for b
Example

6. Finding y intercept Given : (1,2) m = 3 Equation of a line :
y = mx + b
y = 3x + b
y = 3(1) + b
2 = 3(1) + b
2 = 3 + b
2 – 3 = 3 + b – 3
-1 = b
The y intercept is -1

7. Equation of a Line (when given a slope and y intercept )
Given : m = 2 , b = 3
The equation of a line is y = mx + b
-Substitute m
-y = 2x + b
-Substitute b
-y = 2x + 3

8. Equation of a Line (when given two ordered pairs)
Calculate slope
m = 1
Calculate y intercept
b = 1
Substitute m and b into y = mx + b
y = 1x + 1

9. Finding Slope (given 2 points) Given : (x1, y1), (x2, y2)
m = (y2 – y1)/(x2-x1)
Substitute y2
Substitute y1
Subtract (y2-y1)
Substitute x2
Substitute x1
Subtract (x2-x1)
Divide (y2-y1)/(x2-x1)

10. Equation Finding
(when given 2 points) Given (x1,y1), (x2,y2) Calculate slope Substitute an ordered pair (x,y) Substitute m Solve for b y = mx + b For the final answer leave the y and x but substitute the m and b

11. (Calculating slope when given ordered pair and y intercept)
Equations
(Calculating slope when given ordered pair and y intercept)
Given : (x1,y1) :(1,2), b = 1
Substitute y1 in for y (2 = mx + b)
Substitute x1 in for x (2 = m(1) + b)
Substitute b in for b (2 = m(1) + 1)
Solve for m
2-1 = m +1 – 1
m = 1