1.  Announcements: Mandatory office hours to clear missing homework this Saturday. Do Now

2. Students will be able to demonstrate their understanding of verifying points on a line and finding & y- intercepts given an equation or a graph by scoring at least 2 on their exit slip. Objective

3. Standard 6.0 Students graph a linear equation and compute the x- and y-intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y < 4).

4. The y intercept is the point at which the graph of an equation crosses the y axis. y (0,3)(0,3) x Notice that the x value is zero. y = 2x + 3 To find the y-intercept, plug zero (0) in for “x” and solve for y.

5. The x intercept is the point at which the graph of an equation crosses the x axis. y (- 3 / 2,0) x Notice that the y value is zero. y = 2x + 3 To find the x- intercept, plug zero (0) in for “y” and solve for x.

6. Ex. Find the x and x intercepts. 1) y = 2x + 6 3) 3x + 3y = 6 5) 2x + 3y = 6 2) 5x – 6y = 8 4) 5x + 10y = 40

7. Ex 1: Which ordered pair or pairs are solutions of 2x -5y = 1 (7, -3)(-2, 1)(-7, -3)(-2, -1) Verifying Points on a Line Ex 2: Which ordered pair or pairs are solutions of 3x = y + 7? (2, -4)(-2, 3)(1, -2)(2, -1)

8. Ex 4: Which ordered pair or pairs are solutions to 8 -2y = 4x? (0, -2)(2, 0)(1, -2)(-0.5, -3) Verifying Points on a Line Ex 3: Which ordered pairs are solutions of 3x + 3y = 0? (2, -2)(-2, 2)(1, -1) (-1, 1)(2, 2)(1, 1)(5, 5)

9. Find the x-intercept & y-intercept of the graph below

11. Find the x and y intercepts. 1) y = ½ x + 4 2) y = -2 x + 8 3) y = -3x - 4 4) y = 8x - 2 5) 2x + 3y = 6 6) 5x + 2y = 10 You try

12. Solutions 1) y intercept y = ½ (0) + 4 y = 4 (0,4) x intercept 0 = ½ x + 4 x = -8 (-8,0) 2) y intercept y = -2 (0) + 8 y = 8 (0,8) x intercept 0 = -2 x + 8 x = 4 (4,0) 3) y intercept y = -3 (0) - 4 y = -4 (0,-4) x intercept 0 = -3 x - 4 x = - 4 / 3 (- 4 / 3,0)

13. Solutions 4) y intercept y = 8 (0) - 2 y = -2 (0,-2) x intercept 0 = 8 x - 2 x = 1 / 4 ( 1 / 4,0) 5) y intercept 2(0) + 3y = 6 y = 2 (0,2) x intercept 2x + 3(0) = 6 x = 3 (3,0) 6) y intercept 5(0) + 2y = 10 y = 5 (0,5) x intercept 5x + 2(0) = 10 x = 2 (2,0)

14. 1) Which ordered pair or pairs are solutions of 2x + 4y = 8? (0, 2)(2, -1)(2, 0)(3, -0.5) 2) Which ordered pair or pairs are solutions of 8x – 4 = 3y? (4, -2)(0, ½)(2, 4)(2/3, -3/4) Verifying Points on a Line

15. x y Find the x-intercept & y- intercept of the graph below

16. x y

17. Exit Slip Find the x and y intercepts. 1)-3x + 5y = 9 2)-2x - 3y = 10 3) 4)

18. Exit Slip 5) Which ordered pair or pairs are solutions of 3x + y = 8? (4, -4)(2, 2)(-8, 0)(3, -1) 6) Which ordered pair or pairs are solutions of 3x + 3y = 12? (-3, 1)(-4, 1)(1, 3)(-2, 5)