Algebra 4.3 Quick Graphs Using Intercepts I will find the intercepts of the graph of a linear function. I will use intercepts to make a graph of a linear.

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Presentation transcript:

Algebra 4.3 Quick Graphs Using Intercepts I will find the intercepts of the graph of a linear function. I will use intercepts to make a graph of a linear equation.

Algebra 4.3 Quick Graphs Using Intercepts x-intercept - the x-coordinate of a point where a graph crosses the x-axis (y = 0) y-intercept - the y-coordinate of a point where a graph crosses the y-axis (x = 0) Vocabulary

Algebra 4.3 Quick Graphs Using Intercepts Finding Intercepts Find the x-intercept and the y-intercept of the graph of the equation 3x + 9y = 18.3x + 9y = 18 3x + 9(0) = 183(0) + 9y = 18 3x = 189y = 18 x = 6y = 2 x-intercept: (6, 0)y-intercept: (0, 2)

Algebra 4.3 Quick Graphs Using Intercepts Making a Quick Graph Graph 2.5x + 5y = x + 5y = x + 5(0) = 102.5(0) + 5y = x = 105y = 10 x = 4y = 2 x-intercept: (4, 0)y-intercept: (0, 2) Graph.

Algebra 4.3 Quick Graphs Using Intercepts Guided Practice Graph 8x + 4y = 24.

Algebra 4.3 Quick Graphs Using Intercepts Drawing Appropriate Scales Graph y = 5x + 25.y = 5x = 5x + 25y = 5(0) = 5xy = x = -5y = 25 x-intercept: (-5, 0)y-intercept: (0, 25) Graph. With these values, intervals of 5 are good.

Algebra 4.3 Quick Graphs Using Intercepts Fundraiser You are organizing a pancake breakfast for a fundraiser. You want to sell $1000 in tickets. If 100 adults and 50 students are going to attend, how much should you charge for an adult ticket and a student ticket. #AC + #Sc = T Number adults = 100 Adult ticket price (C) = x Number students = 50 Student ticket price (c) = y Total sales = 1000 Writing and Using a Linear Model

Algebra 4.3 Quick Graphs Using Intercepts 100x + 50y = x + y = 20Divide by 502x + y = 20 2x + 0 = 202(0) + y = 20 2x = 20y = 20 x = 10 x-intercept: (10, 0)y-intercept: (0, 20) Graph and choose points as solutions. Writing and Using a Linear Model

Algebra 4.3 Quick Graphs Using Intercepts Lesson Quiz Graph each equation. 1. y - 3x = – 6 2. y = x 3. 5x + 10y =