1. Topic: Graphing a line Vocabulary: Slope tells you how much a line goes up when it goes over one. y = x + slopey-int

2. 14 13 12 11 10 9 8 7 6 5 4 3 2 1 x -3-20123456789 Example One Instructions: How much does it go up? slope = over 1 Up 1

3. 14 13 12 11 10 9 8 7 6 5 4 3 2 1 x -3-20123456789 Example Two Instructions: Make slope triangles to find the slope of the line slope = 2 up 1 over

4. 14 13 12 11 10 9 8 7 6 5 4 3 2 1 x -3-20123456789 Example Three Instructions: Draw a line with y- intercept of 5 and slope triangle 2 high and 1 wide. Write the equation of the line. slope = 2/1 = 2 y-intercept = 5 y = 2x + 5

5. Classwork One. Instructions: graph two lines on the same axis Draw a line with y-intercept of 1 and slope triangle 1 high and 1 wide. Write the equation of the line. Draw a line with y-intercept of 3 and slope triangle 1 high and 1 wide. Write the equation of the line. Draw a line with y-intercept of 2 and slope triangle 2 high and 1 wide. Write the equation of the line. Draw a line with y-intercept of 4 and slope triangle 2 high and 1 wide. Write the equation of the line. Draw a line with y-intercept of 2 and slope triangle 3 high and 1 wide. Write the equation of the line.

6. 14 13 12 11 10 9 8 7 6 5 4 3 2 1 x -3-20123456789 Example One Instructions: Draw a line with y- intercept of 2 and slope triangle 1 high and 3 wide. Write the equation of the line. slope = up/over = 1/3 y-intercept = 2 y = ⅓x + 2

7. 14 13 12 11 10 9 8 7 6 5 4 3 2 1 x -3-20123456789 Example Two Instructions: Draw a line with y-intercept of 3 and slope triangle 1 high and 5 wide. Write the equation of the line. slope = up/over = 1/5 y-intercept = 3 y = ⅕x + 3

8. 14 13 12 11 10 9 8 7 6 5 4 3 2 1 x -3-20123456789 Example Three Instructions: Draw a line with y-intercept of 4 and slope triangle 2 high and 3 wide. Write the equation of the line. slope = up/over = 2/3 y-intercept = 4 y = ⅔x + 4

9. y-intercept = 2 y = ⅘x + 2 14 13 12 11 10 9 8 7 6 5 4 3 2 1 x -3-20123456789 Example Four Instructions: Draw a line with y-intercept of 2 and slope triangle 4 high and 5 wide. Write the equation of the line. slope = high/wide = 4/5

10. Classwork Two. Instructions: graph two lines on the same axis Draw a line with y-intercept of 2 and slope triangle 1 high and 3 wide. Write the equation of the line. Draw a line with y-intercept of 3 and slope triangle 1 high and 2 wide. Write the equation of the line. Draw a line with y-intercept of 2 and slope triangle 2 high and 4 wide. Write the equation of the line. Draw a line with y-intercept of 4 and slope triangle 2 high and 2 wide. Write the equation of the line. Draw a line with y-intercept of 2 and slope triangle 3 high and 5 wide. Write the equation of the line. Draw a line with y-intercept of 2 and slope triangle 2 high and 5 wide. Write the equation of the line.

11. Example Four: Instructions: solve for y Find the slope and y intercept Problem: ÷5 ÷5 ÷5 Slope:3 Y intercept:6

12. Classwork Two Solve for y Find the slope and y intercept 2(y – 8) = 6 3(y + 4) = 0 2y = 6x + 6 2y = 10x + 4 2y - 8x = 0 2y - 4x = 8