1. Day 10 Geometry

2. Warm Up 1) Solve for y 3x – 2y = 6 2) Put the following into slope-intercept form and graph y – 5 = 4 (x + 2)

3. Homework Check Show answers to Slope Worksheet / Graphs

4. Learning Objective G-GPE-5 - Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

5. Note #12 Point-Slope Form of a Linear Equation y – y 1 = m(x – x 1 ) Given slope (m) and a point (x 1, y 1 ) Ex. Write the equation of the line through the point (–1,4) with slope of 3 in both point-slope form and slope intercept form.

6. Ex. Write an equation in point-slope and slope-intercept form of the line with slope –8 that contains the point (3, –6). Note #12 (continued)

7. Write the equation of a line through the points (–2,3) and (1, –1). First find the slope. Then use one of the two points and write the equation using point-slope form and slope- intercept form. Note #12 (continued)

8. You Try: Write an equation in point-slope form and slope- intercept form of the line that contains the points (4, –9) and (–1,1). Note #12 (continued)

9. Note 13 Standard Form of a linear equation Ax + By = C A, B, and C cannot be fractions A is always a positive number

10. Convert y = –2x + 5 to standard form Convert y = (3/5)x – 7 to standard form Note #13 (continued)

11. Graphing from Standard Form using Intercepts x–intercept = y–intercept = Note #13 (continued)

12. Find the x and y intercepts of the equation 3x + 4y = 12 Note #13 (continued)

13. Find the intercepts of the equation and then graph the line 2x + 3y = 6 Note #13 (continued)

14. Find the intercepts of the equation 1/3x + 5/6y = –3/2 Note #13 (continued)

15. Exit Slip 1) Write an equation in point-slope form that goes through the points (1, –4) and (3,2). 2) Graph the equation 3x – 2y = 12 using the intercept method Homework: P. 155 #5 – 22 All