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Homework: finish odd problems on worksheet Quiz tomorrow. Warm up. What is the equation of the line that goes through the following points: (-5, 6) and (-3, 8) (390, 740) and (590, 840).
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Homework: finish odd problems on worksheet Quiz tomorrow Warm up • What is the equation of the line that goes through the following points: • (-5, 6) and (-3, 8) • (390, 740) and (590, 840)
Today we will review how to write the equation for a line, given 2 points.We will also learn how to write an equation for a linear function
Linear Functions • Lets look at the function f(x) = 3x – 7 • Remember this is the same graph as y=3x – 7 • Evaluating functions • f(4) means substitute ____ for ____ and find the value of the function (y) • Find f(4). Write your answer as a point. • Find f(9). Write your answer as a point
Linear Functions • Use the function g(x)= 12x – 5 to find the following values (write your answers as points) • g(6)= ____ is the point ( ) • g(-3)= ______ is the point ( ) • g(1)= ________ is the point ( )
Given the points… • Given the following values, write the equation to the line • Ex1: f(4)= 9 and f(6) = 3 • First- re-write the values as ___________ • Find the slope • Use the slope and a point to write the equation
Given the points… • Given the following values, write the equation to the line • Ex2: f(-6)= 3 and f(6) = 5 • First- re-write the values as ___________ • Find the slope • Use the slope and a point to write the equation
Word problems Debi and some students from her geometry class went outside to measure their shadows. Debi measured Sean's and Karyn's shadows and recorded the information in the table below. Debi plotted this data on a coordinate grid. What is the slope of the line containing these two points?
Word Problems Look at the line that is graphed below. Which of these equations describes this line? • y = -2x + 6 • y = -x + 6 • y = x + 6 • y = 2x + 6
Word problem The water level in a storage tank is 14 feet. Water is released at a constant rate until the tank is empty. The graph below shows the water level (y) in the tank, as a function of time (x). Which of these equations represents the relationship between time and the water level? • y = -2x + 14 y = -2x – 14 y = 2x + 14 y = 2x - 14
Word problem Amy has a checking account at a bank. The graph below shows the relationship between the number of checks she writes and her monthly bank fees. If she writes 16 checks, what will be her monthly bank fee, in dollars?
Class work • Odd problems only • 19 together • What ever you don’t finish gets finished for homework
quiz • Find the slope • Write the equation of the line given slope and y- intercept • Write the equation of the line given slope and a point • Write the equation of the line given the graph • Write the equation of the line given 2 points