WARM UP Evaluate the expression. 1.17 – 6 + 4 – 8 2.6 + 9 ÷ 3 + 3 3.4 5 – 2 6 4.9 6 ÷ 3 18 5.22 – 8 ÷ 2 3 5 Minutes Remain.

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Presentation transcript:

WARM UP Evaluate the expression – – ÷ – ÷ – 8 ÷ Minutes Remain

WARM UP Evaluate the expression – – ÷ – ÷ – 8 ÷ 2 3 4

WARM UP Evaluate the expression – – ÷ – ÷ – 8 ÷ 2 3 3

WARM UP Evaluate the expression – – ÷ – ÷ – 8 ÷ 2 3 2

WARM UP Evaluate the expression – – ÷ – ÷ – 8 ÷ 2 3 1

WARM UP Evaluate the expression – – ÷ – ÷ – 8 ÷ 2 3 0

4.4 Graphing Lines Using Intercepts Today’s Schedule: Lesson 4.4 Powerpoint Lesson 4.4 Powerpoint In class assignment/homework In class assignment/homework Exit Slip 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.

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.

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 equation2x + 3y = 6 STEP TWO: Substitute 0 for y2x + 3(0) = 6 STEP THREE: Solve for xx = 3 ANSWER> The x-intercept is 3. The line crosses the x-axis at the point (3,0)

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 equation2x + 3y = 6 STEP TWO: Substitute 0 for x2(0) + 3y = 6 STEP THREE: Solve for yy = 2 ANSWER> The y-intercept is 2. The line crosses the y-axis at the point (0,2)

4.3 Horizontal and Vertical Lines CHECK POINT Find Intercepts 1.Find the x-intercept of the graph of the equation 3x – 4y = 12 2.Find the y-intercept of the graph of the equation 3x – 4y = 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.

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

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

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

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

4.4 Graphing Lines Using Intercepts CHECK POINT Make a Quick Graph Graph the equation using intercepts. 1.2x + 5y = 10 2.x – 6y = 6 3.4x -5y = 20 YOU’RE CERTIFIED

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