Slope and introduction to slope-intercept

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WARM UP 1. Explain how to graph a linear equation written in slope-intercept form. 2. Explain how to graph a linear equation written in point-slope form.

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Presentation transcript:

Slope and introduction to slope-intercept Unit 4 Linear Functions Slope and introduction to slope-intercept

Warm-Up y varies directly with x. Write the direct variation equation if y = 15 when x = 3. Solve the equations for y: a) b)

Homework 4.5 Check Yes, yes 2. no, no 3. yes, yes 4. no, no 5. no, no 6. yes, yes 7. X = 10 8. y = -15 9. x = 12 10. X = -9 11. y = -1.5 12. y = 6.4

Homework 4.6 Check 1 2. ½ 3. –3/2 4. ¼ 5. -3 6. -4/3 7. 2 8. -3 9. 2/7 1 2. ½ 3. –3/2 4. ¼ 5. -3 6. -4/3 7. 2 8. -3 9. 2/7 10. 7/5 11. 18 quarts 12. 5.2 feet 13. 14.4 cups

Recall from yesterday!

An equation whose graph is a line is a Linear Equation An equation whose graph is a line is a Linear Equation. Examples of Linear Equations:

The y-intercept is the y-coordinate of the point where a line crosses the y-axis. Y-intercept: SLOPE: (rate of change)

Write an equation of the line with Step 1: Write the slope-intercept form equation Step 2: Substitute the given slope and y-intercept from the problem

Write an equation of the line with

Step 1: Find two points on the graph Step 1: Find two points on the graph. Step 2: Find the slope of those points Step 3: Determine the y-intercept Step 4: Write the equation of the line

Write an equation of the line:

Write the equation of the line:

Graphing a line given the equation Step 1: Graph the y-intercept. Step 2: Using the slope, graph a second point on the line. Step 3: Draw a line through the two points

The base pay of a water-delivery person is $210 per week The base pay of a water-delivery person is $210 per week. He also earns 20% commission on any sale he makes. The equation t=210 + 0.2s relates total earnings t to sales s. What is the slope of the equation? What is the y-intercept?

Homework 4.6