Graph an equation in standard form

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Presentation transcript:

Graph an equation in standard form EXAMPLE 4 Graph an equation in standard form Graph 5x + 2y = 10. SOLUTION STEP 1 The equation is already in standard form. STEP 2 Identify the x-intercept. 5x + 2(0) = 10 Let y = 0. x = 2 Solve for x. The x-intercept is 2. So, plot the point (2, 0).

Graph an equation in standard form EXAMPLE 4 Graph an equation in standard form STEP 3 Identify the y-intercept. 5(0) + 2y = 10 Let y = 0. y = 5 Solve for y. The y-intercept is 5. So, plot the point (0, 5). STEP 4 Draw a line through the two points.

EXAMPLE 5 Graph horizontal and vertical lines Graph (a) y = 2 and (b) x = –3. SOLUTION a. The graph of y = 2 is the horizontal line that passes through the point (0, 2). Notice that every point on the line has a y-coordinate of 2. b. The graph of x = –3 is the vertical line that passes through the point (–3, 0). Notice that every point on the line has an x-coordinate of –3.

GUIDED PRACTICE for Examples 4 and 5 Graph the equation. 11. 2x + 5y = 10 12. 3x – 2y = 12

GUIDED PRACTICE for Examples 4 and 5 Graph the equation. 13. x = 1 14. y = –4