4.2 Use Linear Equations in Slope-Intercept Form
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4.2 Use Linear Equations in Slope-Intercept Form • You will write an equation of a line using points on the line. Essential Question: • How do you find the equation of a line given two points?
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4.2 Use Linear Equations in Slope-Intercept Form. Essential Question:. How do you find the equation of a line given two points?. You will write an equation of a line using points on the line. EXAMPLE 1. Write an equation given the slope and a point. - PowerPoint PPT Presentation
Transcript of 4.2 Use Linear Equations in Slope-Intercept Form
4.2 Use Linear Equations in Slope-Intercept Form
• You will write an equation of a line using points on the line.
Essential Question:
• How do you find the equation of a line given two points?
Warm-Up ExercisesEXAMPLE 1 Write an equation given the slope and a point
Write an equation of the line that passes through the point (–1, 3) and has a slope of –4.
Warm-Up ExercisesGUIDED PRACTICE for Example 1
Write an equation of the line that passes through the point (6, 3) and has a slope of 2.
Warm-Up ExercisesEXAMPLE 2 Write an equation given two points
Write an equation of the line that passes through (–2, 5) and (2, –1).
Warm-Up ExercisesEXAMPLE 3
Which function has the values f(4) = 9 and f(–4) = –7?
C f (x) = 2x – 13 D f (x) = 2x – 14
B f (x) = 2x + 1
EXAMPLE 3 Standardized Test Practice
f (x) = 2x + 10A
Warm-Up ExercisesGUIDED PRACTICE for Examples 2 and 3
2. Write an equation of the line that passes through (1, –2) and (–5, 4).
Warm-Up ExercisesGUIDED PRACTICE for Examples 2 and 3
3. Write an equation for the linear function with values f(–2) = 10 and f(4) = –2?
Warm-Up ExercisesSolve a multi-step problemEXAMPLE 4
Your gym membership costs $33 per month after an initial membership fee. You paid a total of $228 after 6 months. Write an equation that gives the total cost as a function of the length of your gym membership (in months). Find the total cost after 9 months.
GYM MEMBERSHIP
Warm-Up ExercisesEXAMPLE 5 Solve a multi-step problem
BMX RACING
In Bicycle Moto Cross (BMX) racing, racers purchase a one year membership to a track. They also pay an entry fee for each race at that track. One racer paid a total of $125 after 5 races. A second racer paid a total of $170 after 8 races. How much does the track membership cost? What is the entry fee per race?
Warm-Up ExercisesGUIDED PRACTICE for Examples 4 and 5
4. A gym charges $35 per month after an initial membership fee. A member has paid a total of $250 after 6 months. Write an equation that gives the total cost of a gym membership as a function of the length of membership (in months). Find the total cost of membership after 10 months.
GYM MEMBERSHIP
Warm-Up ExercisesGUIDED PRACTICE for Examples 4 and 5
BMX RACING
5. A BMX race track charges a membership fee and an entry fee per race. One racer paid a total of $76 after 3 races. Another racer paid a total of $124 after 7 races.
a. How much does the track membership cost?
b. What is the entry fee per race?
c. Write an equation that gives the total cost as a function of the number of races entered.
Warm-Up ExercisesDaily Homework Quiz
(4, –1), m = –11.
Write an equation of the line that passes through the given point with given slope.
(2, 0), m = 42.
Warm-Up ExercisesDaily Homework Quiz
(2, 3), (4, 7)3.
(–5, 7), (2, –7)4.
Write an equation of the line that passes through the given points.
Warm-Up ExercisesDaily Homework Quiz
A camp charges a registration fee and a daily amount. If the total bill for one camper was $338 for 12 days and the total bill for another camper was $506 for 19 days, how much will the bill be for a camper who enrolls for 30 days?
5.
• You will write an equation of a line using points on the line.
Essential Question:
• How do you find the equation of a line given two points?
