1. Objective:
I can analyze the graph of a linear function to find solutions and intercepts.

2. Terms to know...
x-intercept: the x-coordinate of a point where a graph crosses the x-axis.
y-intercept: the y-coordinate of a point where a graph crosses the y-axis.

3. Identify the x and y-intercepts on the graph.
Graphs

4. Identify the x and y-intercepts on the graph.
Graphs

5. Find the x-intercept and the y-intercept of this graph.
y – intercept: ( , ) b =
Three solutions on this line
( , )

6. Find the x-intercept and the y-intercept of this graph
y – intercept: ( , ) b =
Three solutions on this line
( , )

7. Which one of these is not a solution?
B. (-1, 4)
C. (2, 1)
D. (4, -2)

8. Which one of these is not a solution?
(-3, 9)
(0, 1)
(1, 0)
(4, -9)

9. Ordered Pairs Plug in your x, and solve for y.
Example 1: The ordered pair (-1,5) is a solution of which linear function?
Ordered Pairs

10. Ordered Pairs A. (-1,0) B. (4,1) C. (-4,3) D. (0,2)
Find the coordinate pair which falls on the line.
Example 2: Which ordered pair is a solution of this linear equation?
A. (-1,0)
B. (4,1)
C. (-4,3)
D. (0,2)

11. Ordered Pairs Plug in your x and y values.
Example 3: Which ordered pair is a solution of x + y = -4?
A. (0,4)
B. (4,0)
C. (-4,0)
D. (-4,-4)

12. You Try! 2. 1. Which ordered pair is a solution of y = x - 2? A. (2,4)
B. (-3,1)
C. (-2,0)
D. (1,-1) 2.
3. The ordered pair (3,2) is a solution of which linear function?
A. f(x) = 3x - 8
B. f(x) = -2x - 6
C. f(x) = -5x - 17
D. f(x) = -4x + 14

13. Find the x-intercept and y-intercept of this equation
To find x-intercept: Plug in 0 for the y-value.
To find y-intercept: Plug in 0 for the x-value.
y = -4x + 8
x – intercept: (0) = -4x + 8
( , )
y – intercept: y = -4(0) + 8

14. Find the x-intercept and y-intercept of this equation
To find x-intercept: Plug in 0 for the y-value.
To find y-intercept: Plug in 0 for the x-value.
y = 2x – 4
x – intercept: (0) = 2x – 4
( , )
y – intercept: y = 2(0) – 4

15. Find the x and y-intercept
1) 4x + 2y = 20
Find the x and y-intercept
2) -6x + 5y = -30

16. Determine if the point given is a solution (Is this point on the graph?
Is the point (1, 4) a solution to the equation: y = 3x + 1
*If x=1 does the y-value equal 4?
y = 3(1) + 1
y =

17. Determine if the point given is a solution (Is this point on the graph
Is the point (-2, 3) a solution to the equation: y = -2x – 2
*If x= -2 does the y-value equal 3?
y = -2(-2) – 2
y =