1. Warm up
Write the equation of the line passing through the given point with the given slope. Then graph the line.
1. (-4, -3), m =
2. (8, 2), m =

2. answers Y= ½ x – Y= -½ x + 6

3. How do we use Two Points to Write an Equation?
Step 1: Find the slope.
Step 2: Use one of the points and your slope to solve for b.
Step 3: Write your equation in slope-intercept form using slope and y-intercept

4. Example
Write an equation for the line through these points. (-1,-5) and (-2, 3).

5. Your Turn: Write an equation for the line through these points.
(1, 3) and (-1, -1)
(-1, 6) and (7, -10)
(10, -1) and (4, 2)
(-14, -2) and (7, 7)

6. Write an equation of the line that has each pair of intercepts
x-intercept: (-3,0), y-intercept: (0,6)

7. Your Turn:
Write an equation of the line that has an x-intercept of (2,0) and a y-intercept of (0,-5).

8. Part 2: How do write an equation using a table?
Step 1: Find the rate of change. (change in Y over change in X)
Step 2: Use either point and your slope to solve for b.
Step 3: Write your equation in slope-intercept form using slope and y-intercept X Y -1 4 3 6 5 7 11 10

9. Your Turn:
Write in slope-intercept form. X Y
-11 -7 -1 -3 4 19 5

10. Review Key Concepts Slope-intercept Form Y = mx + b Standard Form
Ex. Y=-½x + 5
Standard Form
Ax + By = C
Ex. 2x + 3y= 5

11. Summary:
Name the steps for writing an equation from two points?