Objective:I can analyze the graph of a linear

function to find solutions and intercepts.

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.

GraphsIdentify the x and y-intercepts on the graph.

GraphsIdentify the x and y-intercepts on the graph.

Find the x-intercept and the y-intercept of this graph.

x-intercept: ( , )

y – intercept: ( , ) b =

Three solutions on this line

( , )

( , )

( , )

Find the x-intercept and the y-intercept of this graph

x-intercept: ( , )

y – intercept: ( , ) b =

Three solutions on this line

( , )

( , )

( , )

Which one of these is not a solution?

A. (-5, 8)

B. (-1, 4)

C. (2, 1)

D. (4, -2)

Which one of these is not a solution?

(-3, 9)

(0, 1)

(1, 0)

(4, -9)

Ordered PairsPlug in your x, and solve for y.

Example 1: The ordered pair (-1,5) is a solution of which linear function?

Ordered PairsFind 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)

Ordered PairsPlug 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)

You Try!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 - 8B. f(x) = -2x - 6C. f(x) = -5x - 17D. f(x) = -4x + 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 = -4x + 8

x – intercept: (0) = -4x + 8

( , )

y – intercept: y = -4(0) + 8

( , )

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

( , )

Find the x and y-intercept

1) 4x + 2y = 20 2) -6x + 5y = -30

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 =

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 =