1. 5.2: Use Linear Equations in Slope-Intercept Form
Do Now
You need to:
Pick up your notebook
Left partner: pick up your and your partner’s graphing calculator
Yes, I have your tests graded but I will hand them out in a few minutes DO NOT ASK ME ABOUT IT.
5.2: Use Linear Equations in Slope-Intercept Form
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2. 5.2: Use Linear Equations in Slope-Intercept Form
Grade Distribution
3rd
5th
8th A 8 4 2 B C 3 6 D 1 F
No Shows
100+
Range
50-104
45-99
62-98
Avg
80.48
76.22
76.84
5.2: Use Linear Equations in Slope-Intercept Form
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3. Use Linear Equations in Slope-Intercept Form
Section 5.2
5.2: Use Linear Equations in Slope-Intercept Form
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4. 5.2: Use Linear Equations in Slope-Intercept Form
Review
A: Slope-Intercept Form
Where M = Slope
B = Y-intercept form
Slope
Y-intercept
5.2: Use Linear Equations in Slope-Intercept Form
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5. 5.2: Use Linear Equations in Slope-Intercept Form
Example 1
Write an equation of the line that passes through the point of (0, 5) and the slope of –2.
5.2: Use Linear Equations in Slope-Intercept Form
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6. 5.2: Use Linear Equations in Slope-Intercept Form
Your Turn
Write an equation of the line that passes through the point of (0, –3) and the slope of 3/4.
5.2: Use Linear Equations in Slope-Intercept Form
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7. 5.2: Use Linear Equations in Slope-Intercept Form
Steps
Calculate the slope of the equation
Identify the y-intercept
Apply to the slope-intercept equation
Simplify
5.2: Use Linear Equations in Slope-Intercept Form
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8. 5.2: Use Linear Equations in Slope-Intercept Form
Example 2
Use the graph to calculate the equation:
Anything given?
Two points: (0, –5) and (3, –1); Y-intercept (0, -5) x y –5 3 –1
5.2: Use Linear Equations in Slope-Intercept Form
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9. 5.2: Use Linear Equations in Slope-Intercept Form
Example 2
Use the graph to calculate the equation:
5.2: Use Linear Equations in Slope-Intercept Form
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10. 5.2: Use Linear Equations in Slope-Intercept Form
Example 3
Use the graph to calculate the equation:
5.2: Use Linear Equations in Slope-Intercept Form
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11. 5.2: Use Linear Equations in Slope-Intercept Form
Example 4
Write an equation for the function where the values of (0, 5) and (4, 17). x y 5 4 17
5.2: Use Linear Equations in Slope-Intercept Form
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12. 5.2: Use Linear Equations in Slope-Intercept Form
Example 5
Write an equation for the function where the values of (0, –2) and (8, 4)
5.2: Use Linear Equations in Slope-Intercept Form
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13. 5.2: Use Linear Equations in Slope-Intercept Form
Your Turn
Write an equation for the function where the values of (–3, 6) and (0, 5)
5.2: Use Linear Equations in Slope-Intercept Form
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14. Writing an equation in Slope Intercept
Calculate the slope
Plug into the equation, y = mx + b for the x and y-coordinates
Solve for the y-intercept
Write the equation of the line in simplified form
5.2: Use Linear Equations in Slope-Intercept Form
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15. 5.2: Use Linear Equations in Slope-Intercept Form
Example 6
Write an equation for the function where the values of (–1, 3) and the slope of –4.
5.2: Use Linear Equations in Slope-Intercept Form
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16. 5.2: Use Linear Equations in Slope-Intercept Form
Example 7
Write an equation for the function where the values of (6, 3) and the slope of 2.
5.2: Use Linear Equations in Slope-Intercept Form
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17. 5.2: Use Linear Equations in Slope-Intercept Form
Your Turn
Write an equation for the function where the values of (6, 3) and the slope of –2.
5.2: Use Linear Equations in Slope-Intercept Form
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18. 5.2: Use Linear Equations in Slope-Intercept Form
Example 8
J.J. has saved $135 in 4 weeks. If he continues to save $30 per week, write a linear equation that represents the total amount saved as a function of the number of weeks he’s been saving.
5.2: Use Linear Equations in Slope-Intercept Form
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19. 5.2: Use Linear Equations in Slope-Intercept Form
Example 9
Frodo and Sam are saving up to buy the Harry Potter series on Blu-ray. Gandolf is helping them figure out how long it will take to save up. They currently have $15 and saves $30 a week doing garden work for other houses in the Shire. Write an equation representing the following situation and then determine how many money will they have if they work for 10 weeks?
5.2: Use Linear Equations in Slope-Intercept Form
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20. 5.2: Use Linear Equations in Slope-Intercept Form
Your Turn
24-Hour Fitness charges $33 per month after an initial membership fee. You paid a total of $228 after 6 months. Write an equation gives the total cost as a function of the length of the gym membership (in months). Then, determine how many months would he been a member if he had paid a total of $327?
5.2: Use Linear Equations in Slope-Intercept Form
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21. 5.2: Use Linear Equations in Slope-Intercept Form
Assignment
Worksheet
5.2: Use Linear Equations in Slope-Intercept Form
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