1. Do Now 11/19/09 Take out HW from last night. –Text. page 296, #4-28 multiples of 4, #30-46 every 4 Copy HW in your planner. –Text. page 305, #6, 8, 12, 14, 16, 20, 22, 24, 26, 32 –Mid-Chapter 5 Quiz next Wednesday In your journal, list the 3 steps you have to take in order to write the equation of a line when you know two points on that line. Then write the equation of the line containing the following points: (10,-5), (-5, 1)

2. Homework Text p. 296, #4-28 multiples of 4, #30-46 every 4 4) y = 2x – 9 8) y = 1/2x – 19/2 12) y = 7x – 19 16) y = -1/2x – 7/4 20) y = -7/6x + 11/6 24) y = -x – 4 28) y = -3x – 6 30) y = -1/4x + 5 34) Yes 38) y = 3/2x – 1/2 42) Yes; y = 3/4x + 1 46) 7; find the equation of the line through (-2,3) and (2,5) to be y = 1/2x + 4, then substitute 6 for x to find k.

3. Objective SWBAT write linear equations in point- slope form.

4. Slope Review The slope m of a line passing through two points and is the ratio of the rise change to the run. and is the ratio of the rise change to the run. y x run rise

5. Section 5.3 “Write Linear Equations in Point-Slope Form” POINT-SLOPE FORM- of a linear equation is written as: slope y-coordinate point 1 x-coordinate point 1 y x run rise

6. Write an equation in point-slope form of the line that passes through the point (4, -3) and has a slope of 2. Write point-slope form. Substitute 2 for m, 4 for x, and - 3 for y. Write point-slope form STEP 1 Substitute for the slope and the coordinates of the given point in STEP 2 Write in point-slope. Write an equation of the line in point-slope form. STEP 3

7. Write an equation in point-slope form of the line that passes through the point (-1, 4) and has a slope of -2. Write point-slope form. Substitute -2 for m, -1 for x, and 4 for y. Write point-slope form STEP 1 Substitute for the slope and the coordinates of the given point in STEP 2 Write in point-slope. Write an equation of the line in point-slope form. STEP 3

8. Write an equation in point-slope form of the line that passes through (2, 3) and (4, 4). m = y 2 – y 1 x2 – x1x2 – x1 = 4 – 3 4 – 2 = 1 2 Calculate the slope. STEP 1 Write point-slope form. Substitute for the slope and the coordinates of the given point in STEP 2 or

9. Write an equation in point- slope form of the line shown. m = y 2 – y 1 x 2 – x 1 = 3 – 1 -1– 1 = 2 -2 Calculate the slope. STEP 1 Write point-slope form. Substitute for the slope and the coordinates of the given point in STEP 2 y x = -1 or

10. Graph the equation. Because the equation is in point-slope form, you know that the line has a slope of and passes through the point (3, –2). 2 3 Plot the point ( 3, – 2 ). Find a second point on the line using the slope. Draw a line through both points.

11. Graph the equation. Because the equation is in point-slope form, you know that the line has a slope of –1 and passes through the point (2, 1). Plot the point ( 2, 1 ). Find a second point on the line using the slope. Draw a line through both points.

12. What Did We Learn Today? POINT-SLOPE FORM- of a linear equation is written as: slope y-coordinate point 1 x-coordinate point 1 y x run rise

13. 24 Homework Text page 305, #6, 8, 12, 14, 16, 20, 22, 24, 26, 32