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Warm Up

Warm Up. Graph the linear functions. 1. 2. y = -x + 3. y = 2x - 2. INTERCEPTS OF GRAPHS. Objectives. Graph and interpret linear Functions. (AF 3.0)

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Warm Up

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  1. Warm Up Graph the linear functions. 1. 2. y = -x + 3 y = 2x - 2

  2. INTERCEPTS OF GRAPHS

  3. Objectives • Graph and interpret linear Functions. (AF 3.0) • Represent quantitative relationships graphically and interpret the meaning of a specific part of the graph in the situation represented by the graph. (AF 1.5)

  4. INTERCEPTS OF A GRAPH Intercepts- points at which the graph intersects the x- or y-axis. What number do the x- and y- intercepts have in common? Finding intercepts: • An x-intercept is written as the ordered pair (x, 0). • A y-intercept is written as the ordered pair (0, y).

  5. Intercepts y • The graph of any linear equation in two variables is a straight line. x - intercept • Finding intercepts can be helpful when graphing. • The x-intercept is the point where the line crosses the x-axis. x y - intercept • The y-intercept is the point where the line crosses the y-axis.

  6. Finding the intercepts • To find the x - interceptof a line, substitute y = 0 into the equation and solve for x. 2) To find the y - interceptof a line, substitute x = 0 into the equation and solve for y.

  7. Finding the x - interceptFind the x-intercept of the graph of the equation y =2x-6 • To find the x-intercept: substitute in ZERO for y and solve for y. y = 2x-6 write the equation 0=2x -6 substitute 0 for y +6 +6 solve for x 6=2x 3=x Thus, the x-intercept is (3,0).

  8. Finding the y - interceptFind the y-intercept of the graph of the equation y =2x-6 • To find the y-intercept: substitute in ZERO for x and solve for y. y = 2x-6 write the equation y = 2(0) -6 substitute 0 for x y = 0-6solve for y y = -6 Thus, the y- intercept is (0,-6).

  9. Find the intercepts of y = 4x+4 • To find the x - intercept: Let y = 0 y = 4x+4 0=4x +4 -4 -4 solve for x-4=4x -1 = x Thus, the x-intercept is (-1,0). • To find the y - intercept: let x=0 y = 4x+4 y = 4(0) +4 y = 0+4solve for y y = 4 Thus, the y -intercept is (0,4).

  10. You tryFind the intercepts of the graph of y = -3x+6 • To find the x - intercept: Let y = 0 y = -3x+6 0=-3x +6 -6 -6 solve for x-6=-3x 2= x Thus, the x-intercept is (2,0). • To find the y - intercept: let x=0 y = -3x+6 y = -3(0) +6 y = 0+6solve for y y = 6 Thus, the y -intercept is (0,6).

  11. Identify the intercepts 1) x - intercept: y - intercept: 3) x - intercept: y - intercept: -2 2) x - intercept: y - intercept: 4 2 -2 2 -1

  12. Sketch a graph using the intercepts y - intercept: 3 x - intercept: 4

  13. Sketch a graph using the intercepts 2) x - intercept: 2 y - intercept: 4 3) x - intercept:-3 y - intercept:-4 1) x - intercept: -2 y - intercept: 3

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