Presentation on theme: "Use intercepts to graph an equation"— Presentation transcript:
1 Use intercepts to graph an equation EXAMPLE 2Use intercepts to graph an equationGraph the equation x + 2y = 4.SOLUTIONSTEP 1Find the intercepts.x + 2y = 4x + 2y = 4x + 2(0) =40 + 2y = 4x =x-intercept4y =y-intercept2
2 EXAMPLE 2Use intercepts to graph an equationSTEP 2Plot points. The x-intercept is 4, so plot the point (4, 0). The y-intercept is 2, so plot the point (0, 2). Draw a line through the points.
3 EXAMPLE 3Use a graph to find interceptsThe graph crosses the x-axis at (2, 0). The x-intercept is 2. The graph crosses the y-axis at (0, –1). They-intercept is –1.
4 EXAMPLE 2GUIDED PRACTICEUse intercepts to graph an equationfor Examples 2 and 3Graph the equation 6x + 7y = 42. Label the pointswhere the line crosses the axes.4.ANSWER
5 GUIDED PRACTICEfor Examples 2 and 3Identify the x-intercept and the y-intercept of the graph shown at the right.5.–4, 2ANSWER