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This document discusses how to find the x-intercept and y-intercept of a linear equation by setting one variable equal to 0 and solving for the other. It provides examples of finding intercepts from equations, graphing lines using intercepts, and identifying intercepts from a graph.
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5.4 notes
- 2. 2x + y = 6 To find the x-intercept of the graph of a linear equation, find the value of x when y = 0. (3,0)
- 3. 2x + y = 6 To find the y-intercept of the graph of a linear equation, find the value of y (0,6) when x = 0. (3,0)
- 4. Example 1 Graph using Intercepts What are the x-intercept and the y-intercept of the graph of 2x + 7y = 28 ? To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute 0 for x and solve for y. Answer: x-intercept: 14; y-intercept: 4
- 5. Example 2 Use intercepts to graph an equation Graph the equation x + 2y = 4
- 6. Example 3 Use a graph to find intercepts Identify the x-intercept and the y-intercept of the graph. (2, 0) (0, -1)