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

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I can graph linear equations using intercepts and write linear equations in standard form.

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Presentation transcript:

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.

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

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

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

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

Which one of these is not a solution? 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 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

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)

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)

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

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 Find the x and y-intercept 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 =