Example 2 Graphing Using Slope-Intercept Form 1

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Presentation transcript:

Graph the equation y = x + 3. 2 Example 2 Graphing Using Slope-Intercept Form 1 Graph the equation y = x + 3. 2 SOLUTION STEP 1 Use the y-intercept, 3, to plot the point (0, 3). 2 1 STEP 2 Use the slope, , to plot a second point by moving up 1 unit and right 2 units. STEP 3 Draw a line through the points.

What is an equation of the line shown in the graph at the right? Example 3 Multiple Choice Practice What is an equation of the line shown in the graph at the right? y = – x + 6 y = 6x – 1 y = x + 6 y = 4x + 6

STEP 1 Find the slope m using the labeled points. Example 3 Multiple Choice Practice SOLUTION STEP 1 Find the slope m using the labeled points. = m 4 6 2 – 1 STEP 2 Find the y-intercept b. The line crosses the y-axis at (0, 6), so b = 6. STEP 3 Write an equation of the form y = mx + b. y = – x + 6 ANSWER The correct answer is A.

Use the slope and y-intercept to graph the equation. Guided Practice for Examples 2 and 3 Use the slope and y-intercept to graph the equation. 4. y = 2x + 5 ANSWER

Use the slope and y-intercept to graph the equation. Guided Practice for Examples 2 and 3 Use the slope and y-intercept to graph the equation. 5. y = 7x ANSWER

Use the slope and y-intercept to graph the equation. Guided Practice for Examples 2 and 3 Use the slope and y-intercept to graph the equation. 6. – x + y = 6 ANSWER

Write an equation of the line passing through the given points. Guided Practice for Examples 2 and 3 Write an equation of the line passing through the given points. 7. (0, 2) and (2, 8) ANSWER y = 3x + 2 ANSWER y = – x 5 4 8. (0, 0) and ( 5, 4) – 9. (1, 4) and (0, –8) ANSWER y = 12x – 8