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4.3 Graphing Using Intercepts

4.3 Graphing Using Intercepts. An x-intercept of a graph is the x-coordinate of a point where the graph crosses the x-axis. An y-intercept of a graph is the y-coordinate of a point where the graph crosses the y-axis. Example 1 : Find the x-intercept and the

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4.3 Graphing Using Intercepts

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  1. 4.3 Graphing Using Intercepts

  2. An x-intercept of a graph is the x-coordinate of a point where the graph crosses the x-axis. • An y-intercept of a graph is the y-coordinate of a point where the graph crosses the y-axis.

  3. Example 1: Find the x-intercept and the y-intercept of the graph of 3x - 4y = 12. • To find the x-intercept, plug zero in for y and solve for x. • To find the y-intercept, plug zero in for x and solve for y.

  4. y-intercept 3x - 4y = 12 x-intercept 3x – 4(0) = 12 3x = 12 x = 4 • 3(0) – 4y= 12 • -4y = 12 • y = -3

  5. Example 2: Graph the equation 4x + 8y =24 using the x and y-intercepts. • Find the x and y-intercepts. • Plot the x and y-intercepts and draw a line through them connecting them with a straight edge. 4x + 8y =24 x-intercept y-intercept x-int: 6 y-int: 3 (6,0) (0,3)

  6. (0,3) 4x + 8y =24 (6,0)

  7. Example 3: Identify the x-intercept and y-intercept of the graph. x-int: 2 y-int: -4

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