4.2 Use Linear Equations in Slope-Intercept Form

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Presentation transcript:

4.2 Use Linear Equations in Slope-Intercept Form Essential Question: You will write an equation of a line using points on the line. How do you find the equation of a line given two points?

EXAMPLE 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.

GUIDED PRACTICE for Example 1 Write an equation of the line that passes through the point (6, 3) and has a slope of 2.

EXAMPLE 2 Write an equation given two points Write an equation of the line that passes through (–2, 5) and (2, –1).

EXAMPLE 3 EXAMPLE 3 Standardized Test Practice Which function has the values f(4) = 9 and f(–4) = –7? f (x) = 2x + 10 A B f (x) = 2x + 1 C f (x) = 2x – 13 D f (x) = 2x – 14

GUIDED PRACTICE for Examples 2 and 3 2. Write an equation of the line that passes through (1, –2) and (–5, 4).

GUIDED PRACTICE for Examples 2 and 3 3. Write an equation for the linear function with values f(–2) = 10 and f(4) = –2?

EXAMPLE 4 Solve a multi-step problem GYM MEMBERSHIP 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.

EXAMPLE 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?

GUIDED PRACTICE for Examples 4 and 5 GYM MEMBERSHIP 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.

GUIDED 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.

Daily Homework Quiz Write an equation of the line that passes through the given point with given slope. (4, –1), m = –1 1. (2, 0), m = 4 2.

Daily Homework Quiz Write an equation of the line that passes through the given points. (2, 3), (4, 7) 3. (–5, 7), (2, –7) 4.

Daily 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?