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Solve the equation for y. SOLUTION EXAMPLE 2 Graph an equation Graph the equation –2x + y = –3. –2x + y = –3 y = 2x –3 STEP 1.

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Presentation on theme: "Solve the equation for y. SOLUTION EXAMPLE 2 Graph an equation Graph the equation –2x + y = –3. –2x + y = –3 y = 2x –3 STEP 1."— Presentation transcript:

1 Solve the equation for y. SOLUTION EXAMPLE 2 Graph an equation Graph the equation –2x + y = –3. –2x + y = –3 y = 2x –3 STEP 1

2 Graph an equation EXAMPLE 2 Plot the points. Notice that the points appear to lie on a line. STEP 3 Make a table by choosing a few values for x and finding the values of y. x–2–1012 y–7–5–3–11 STEP 2

3 Graph an equation EXAMPLE 2 Connect the points by drawing a line through them. Use arrows to indicate that the graph goes on without end. STEP 4

4 Graph (a) y = 2 and (b) x = –1. Graph y = b and x = a EXAMPLE 3 SOLUTION For every value of x, the value of y is 2. The graph of the equation y = 2 is a horizontal line 2 units above the x -axis. a.

5 Graph y = b and x = a EXAMPLE 3 For every value of y, the value of x is –1. The graph of the equation x = –1 is a vertical line 1 unit to the left of the y -axis. b.

6 GUIDED PRACTICE for Examples 2 and 3 Graph the equation. 2. y + 3x = –2 ANSWER

7 GUIDED PRACTICE for Examples 2 and 3 3. y = 2.5 Graph the equation. ANSWER

8 GUIDED PRACTICE for Examples 2 and 3 4. x = –4 Graph the equation. ANSWER

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