Slide 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. x-intercept
(4, 0) y-intercept
(0, 2)
Slide 3:
EX Find the x-intercept and the y-intercept of the graph of 2x + 3y = 12. y-intercept
Let x = 0. 3 3 x-intercept
Let y = 0. 2 2 (0, 4) (6, 0)
Slide 4:
EX Graph the equation 3x + 5y = 15 using intercepts. y-intercept
Let x = 0. 5 5 x-intercept
Let y = 0. 3 3 • •
Slide 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
Let x = 0. 8 8 x-intercept
Let y = 0. 6 6 0 small and 18 large
24 small and 0 large
8 small and 12 large
16 small and 6 large • •