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WARM UP

WARM UP. 5 Minutes Remain. Evaluate the expression. 17 – 6 + 4 – 8 6 + 9 ÷ 3 + 3 4 • 5 – 2 • 6 9 • 6 ÷ 3 • 18 22 – 8 ÷ 2 • 3. WARM UP. 4. Evaluate the expression. 17 – 6 + 4 – 8 6 + 9 ÷ 3 + 3 4 • 5 – 2 • 6 9 • 6 ÷ 3 • 18 22 – 8 ÷ 2 • 3. WARM UP. 3. Evaluate the expression.

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WARM UP

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  1. WARM UP 5 Minutes Remain Evaluate the expression. 17 – 6 + 4 – 8 6 + 9 ÷ 3 + 3 4 • 5 – 2 • 6 9 • 6 ÷ 3 • 18 22 – 8 ÷ 2 • 3

  2. WARM UP 4 Evaluate the expression. 17 – 6 + 4 – 8 6 + 9 ÷ 3 + 3 4 • 5 – 2 • 6 9 • 6 ÷ 3 • 18 22 – 8 ÷ 2 • 3

  3. WARM UP 3 Evaluate the expression. 17 – 6 + 4 – 8 6 + 9 ÷ 3 + 3 4 • 5 – 2 • 6 9 • 6 ÷ 3 • 18 22 – 8 ÷ 2 • 3

  4. WARM UP 2 Evaluate the expression. 17 – 6 + 4 – 8 6 + 9 ÷ 3 + 3 4 • 5 – 2 • 6 9 • 6 ÷ 3 • 18 22 – 8 ÷ 2 • 3

  5. WARM UP 1 Evaluate the expression. 17 – 6 + 4 – 8 6 + 9 ÷ 3 + 3 4 • 5 – 2 • 6 9 • 6 ÷ 3 • 18 22 – 8 ÷ 2 • 3

  6. WARM UP 0 Evaluate the expression. 17 – 6 + 4 – 8 6 + 9 ÷ 3 + 3 4 • 5 – 2 • 6 9 • 6 ÷ 3 • 18 22 – 8 ÷ 2 • 3

  7. 4.4 Graphing Lines Using Intercepts Today’s Schedule: Lesson 4.4 Powerpoint In class assignment/homework Exit Slip GOAL: Find the intercepts of the graph of a linear equation and then use them to make a quick graph of the equation. KEY WORDS: x-intercepts, y-intercepts, x-axis, y-axis.

  8. 4.4 Graphing Lines Using Intercepts An x-intercept is the x-coordinate of a point where a graph crosses the x-axis. A y-intercept is the y-coordinate of a point where a graph crosses the y-axis The y-intercept is the value of y when x = 0. Here, the y-intercept is 2. The x-intercept is the value of x when y = 0. Here, the x-intercept is 3.

  9. 4.4 Graphing Lines Using Intercepts EXAMPLE 1 Find an x-intercept Find the x-intercept of the graph of the equation 2x + 3y =6 SOLUTION To find an x-intercept, substitute 0 for y and solve for x. STEP ONE: Write the original equation 2x + 3y = 6 STEP TWO: Substitute 0 for y 2x + 3(0) = 6 STEP THREE: Solve for x x = 3 ANSWER> The x-intercept is 3. The line crosses the x-axis at the point (3,0)

  10. 4.4 Graphing Lines Using Intercepts EXAMPLE 2 Find a y-intercept Find the y-intercept of the graph of the equation 2x + 3y =6 SOLUTION To find a y-intercept, substitute 0 for x and solve for y. STEP ONE: Write the original equation 2x + 3y = 6 STEP TWO: Substitute 0 for x 2(0) + 3y = 6 STEP THREE: Solve for y y = 2 ANSWER> The y-intercept is 2. The line crosses the y-axis at the point (0,2)

  11. 4.3 Horizontal and Vertical Lines CHECK POINT Find Intercepts Find the x-intercept of the graph of the equation 3x – 4y = 12 Find the y-intercept of the graph of the equation 3x – 4y = 12

  12. 4.4 Graphing Lines Using Intercepts SUMMARY Making a Quick Graph STEP ONE Find the intercepts. STEP TWO Draw a coordinate plane that includes the intercepts. STEP THREE Plot the intercepts and draw a line through them.

  13. 4.4 Graphing Lines Using Intercepts EXAMPLE 3 Make a Quick Graph Graph the equation 3x + 2y = 12 SOLUTION Find the intercepts. STEP ONE: Write the original equation 3x + 2y = 12 STEP TWO: Substitute 0 for y 3x + 2(0) = 12 STEP THREE: Solve for x x = 4 1

  14. 4.4 Graphing Lines Using Intercepts EXAMPLE 3 Make a Quick Graph Graph the equation 3x + 2y = 12 SOLUTION Find the intercepts. STEP ONE: Write the original equation 3x + 2y = 12 STEP TWO: Substitute 0 for x 3(0) + 2y = 12 STEP THREE: Solve for y y = 6 1

  15. 4.4 Graphing Lines Using Intercepts EXAMPLE 3 Make a Quick Graph Graph the equation 3x + 2y = 12 SOLUTION Draw a coordinate plane that includes the points (4,0) and (0,6). 2

  16. 4.4 Graphing Lines Using Intercepts EXAMPLE 3 Make a Quick Graph Graph the equation 3x + 2y = 12 SOLUTION Plot the points (4,0) and (0,6) and draw a line through them. 3

  17. 4.4 Graphing Lines Using Intercepts CHECK POINT Make a Quick Graph Graph the equation using intercepts. 2x + 5y = 10 x – 6y = 6 4x -5y = 20 YOU’RE CERTIFIED

  18. 4.4 Graphing Lines Using Intercepts CLASSWORK/HOMEWORK Page 225 #s 3 – 17 (You have to graph 9 – 14)

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