Algebra 1 Unit 3 Note Sheets 22 5.1 Write Linear Equations in Slope-Intercept Form Notes Guided Practice 1. Write an equation of the line with a slope of –2 and a y-intercept of 5. Your Turn Write an equation of the line with the given slope and y-intercept. 2. Slope is 8; y-intercept is –7. 3. Slope is 3 4 ; y intercept is –3 Guided Practice 4. Which equation represents the line shown? Your Turn 5. Which equation represents the line shown?
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Algebra 1 Unit 3 Note Sheets
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5.1 Write Linear Equations in Slope-Intercept Form Notes Guided Practice
1. Write an equation of the line with a slope of –2 and a y-intercept of 5. Your Turn Write an equation of the line with the given slope and y-intercept.
2. Slope is 8; y-intercept is –7.
3. Slope is 34; y intercept is –3
Guided Practice
4. Which equation represents the line shown?
Your Turn
5. Which equation represents the line shown?
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Guided Practice 6. Write an equation of the line shown.
Your Turn Write an equation of the line shown.
7. 8. Guided Practice
9. Write an equation for the linear function f with the values 𝑓(0) = 5 and 𝑓(4) = 17. Your Turn Write an equation for the linear function f with the given values.
12. A recording studio charges musicians an initial fee of $50 to record an album. Studio time costs an additional $35 per hour.
a. Write an equation that gives the total cost of an album as a function of studio time (in hours). b. Find the total cost of recording an album that takes 10 hours of studio time.
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5.3 Write Linear Equations in Point-Intercept Form Notes Vocabulary Point-slope Form ___________________________________________________________________________
Guided Practice 1. Write an equation in point-slope form of the line that passes through the point (4, –3) and has a slope of
2. Your Turn
2. Write an equation in point-slope form of the line that passes through the point (–1, 4) and has a slope of –2.
Guided Practice
3. Graph the equation 𝑦 + 2 = 23(𝑥 − 3)
Your Turn 4. Graph the equation 𝑦 − 1 = −(𝑥 − 2)
Guided Practice
5. Write an equation in point-slope form of the line shown.
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Your Turn 6. Write an equation in point-slope form of the line shown.
Guided Practice
7. Write an equation of the line that passes through the two points. (9, 4) 𝑎𝑛𝑑 (17, 6)
Your Turn
8. (3, −8) 𝑎𝑛𝑑 (7, −2)
9. The table shows the cost of visiting a working ranch for one day and night for different numbers of people. Can the situation be modeled by a linear equation? Explain. If possible, write an equation that gives the cost as a function of the number of people in the group.
