1. Writing Linear Equations in Slope Intercept Form Goals: Write linear equations given 2 points. Decide which form of a line to use given initial information. 5.3

2. EXAMPLE 1 Use a Graph Write the equation of the line in the graph in slope-intercept form.

3. Checkpoint Use a Graph

4. EXAMPLE 2 Write an Equation Given Two Points Write in slope-intercept form the equation of the line that passes through the point (3, -2) and (6,0).

5. Checkpoint Write an Equation of a Line Given Two Points Two Points Write in slope-intercept form the equation of the line that passes through the points (2, 3) and (4, 7).

6. Checkpoint Write an Equation of a Line Given Two Points Two Points Write in slope-intercept form the equation of the line that passes through the points (-4, 5) and (2, 2).

7. Checkpoint Write an Equation of a Line Given Two Points Two Points Write in slope-intercept form the equation of the line that passes through the points (1, -1) and (4, -4).

8. EXAMPLE 3 Decide Which Form to Use Write the equation of the line in slope-intercept form.

9. EXAMPLE 3 Decide Which Form to Use Write the equation of the line in slope-intercept form.

10. Checkpoint

11. Checkpoint

12. Checkpoint Decide Which Form To Use Write the equation of the line in slope-intercept form.

13. SUMMARY Writing Linear Equations Given Two Points Find the slope Write the equation of the line. Use the slope-intercept form if you know the y-intercept y = mx + b Use the point-slope form if you do NOT know the y-intercept. y – y 1 = m(x – x 1 ) 2 1

14. SUMMARY Writing Linear Equations Given Two Points Find the slope Plug the slope into the line equation y = mx + b and solve for b. Now that you have the slope and y – intercept, write the equation of the line. UUse the slope-intercept form y = mx + b 2 1 3 4