SOLUTION STEP 1 Use intercepts to graph an equation EXAMPLE 2 Graph the equation x + 2y = 4. x + 2y = 4 x =  x- intercept 4 Find the intercepts. x + 2(0) = y = 4 y =  y- intercept 2 x + 2y = 4

Use intercepts to graph an equation EXAMPLE 2 STEP 2 Plot 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.

Use a graph to find intercepts EXAMPLE 3 The graph crosses the x- axis at (2, 0). The x- intercept is 2. The graph crosses the y- axis at (0, – 1). The y- intercept is – 1.

SOLUTION STEP 1 Use intercepts to graph an equation EXAMPLE 2 6x + 7y = 42 x =  x- intercept 7 Find the intercepts. 6x + 7(0) = 42 6x + 7y = 42 6(0) + 7y = 42 y =  y- intercept 6 GUIDED PRACTICE for Examples 2 and 3 Graph the equation 6x + 7y = 42. Label the points where the line crosses the axes. 4.

Use intercepts to graph an equation EXAMPLE 2 STEP 2 GUIDED PRACTICE for Examples 2 and 3 Plot points. The x- intercept is 7, so plot the point (7, 0). The y- intercept is 6, so plot the point (0, 6). Draw a line through the points.

The graph crosses the x- axis at (–4, 0). The x- intercept is –4. The graph crosses the y- axis at (0, 2). The y- intercept is 2. GUIDED PRACTICE for Examples 2 and 3 Identify the x- intercept and the y- intercept of the graph shown at the right. 5. SOLUTION