Warm ups What is the slope of the line that passes through (–4, 8) and (5, 2)? Suppose y varies directly as x and y = –5 when x = 10. Which is a direct.

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Warm ups What is the slope of the line that passes through (–4, 8) and (5, 2)? Suppose y varies directly as x and y = –5 when x = 10. Which is a direct variation equation that relates x and y? Find the next two terms in the arithmetic sequence –7, –4, –1, 2, …. Is the function represented by the table linear? Explain.

4-1 Graphing in slope intercept form Objective: Write and graph linear equations in slope-intercept from.

Vocabulary slope-intercept form y = mx + b

Slope-Intercept Form

Example 1 Write an equation in slope-intercept form of the line with a slope of and a y-intercept of –1. Then graph the equation. Slope-intercept form Write and Graph an Equation

Example 1 Graph Now graph the equation . Step 1 Plot the y-intercept (0, –1). Step 2 The slope is . From (0, –1), move up 1 unit and right 4 units. Plot the point. Answer: Step 3 Draw a line through the points. Write and Graph an Equation

Try with a Mathlete Write an equation in slope-intercept form of the line whose slope is 4 and whose y-intercept is 3. A. y = 3x + 4 B. y = 4x + 3 C. y = 4x D. y = 4

Example 2 Graph 5x + 4y = 8. Solve for y to write the equation in slope-intercept form. 5x + 4y = 8 Original equation 5x + 4y – 5x = 8 – 5x Subtract 5x from each side. 4y = 8 – 5x Simplify. 4y = –5x + 8 8 – 5x = 8 + (–5x) or –5x + 8 Divide each side by 4. Graph Linear Equations

Example 2 Graph Slope-intercept form Answer: Now graph the equation. Step 1 Plot the y-intercept (0, 2). Step 2 The slope is From (0, 2), move down 5 units and right 4 units. Draw a dot. Step 3 Draw a line connecting the points. Graph Linear Equations

Try with a Mathlete Graph 3x + 2y = 6. A. B. C. D.

Example 3 Graph y = –7. Step 1 Plot the y-intercept (0, -7). Step 2 The slope is 0. Draw a line through the points with the y-coordinate -7. Answer: Graph Linear Equations

TOO Graph 5y = 10. A. B. C. D.

Example 4 Which of the following is an equation in slope-intercept form for the line shown in the graph? A. B. C. D.

TOO Which of the following is an equation in slope-intercept form for the line shown in the graph? A. B. C. D.

Homework