Lesson graphing using intercepts
- 1. Lesson: Graphing Using Intercepts Courtesy of BSN
- 2. x-intercept – x-coordinate of a point where the graph crosses the x- axis. y-intercept – y-coordinate of a point where the graph crosses the y- axis. y-intercept (0, 2) x-intercept (4, 0)
- 3. EX Find the x-intercept and the y-intercept of the graph of 2x + 3y = 12. y-intercept x-intercept Let x = 0. Let y = 0. 2 x 3 y 12 2 x 3 y 12 2(0) 3 y 12 2x 3(0) 12 3y 12 2x 12 3 3 2 2 y 4 x 6 (0, 4) (6, 0)
- 4. EX Graph the equation 3x + 5y = 15 using intercepts. y-intercept x-intercept Let x = 0. Let y = 0. 3x 5 y 15 3x 5 y 15 3(0) 5 y 15 3x 5(0) 15 5y 15 3x 15 5 5 3 3 y 3 x 5 • •
- 5. EX You are helping to plan a dinner at your school and you need to rent tables to seat 144 people. Small tables seat 6 people and large tables seat 8 people. 6x + 8y = 144 x = number of small tables y = number of large tables a. Find the intercepts and graph the equation. b. Give four possibilities for the numbers of each size table. y-intercept x-intercept Let x = 0. Let y = 0. 6 x 8 y 144 6 x 8 y 144 6(0) 8 y 144 6x 8(0) 144 8y 144 6x 144 8 8 6 6 y 18 x 24 • 0 small and 18 large 24 small and 0 large • 8 small and 12 large 16 small and 6 large