4.4 Writing Linear Equations

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Presentation transcript:

4.4 Writing Linear Equations What is the y-intercept? b = -1 What is the slope? m = 2 Use y = mx + b form to write equation. y = 2x -1

y = mx + b 7 = 3(2) + b 7 = 6 + b 1 = b y = 3x + 1 Given: m = 3 and it goes through (2,7) write the equation of the line. y = mx + b 7 = 3(2) + b Plug the slope and the point in to the equation. 7 = 6 + b 1 = b y = 3x + 1 Plug the slope and b back in.

You try this one Given: m = -2 and it goes through (1,6) write the equation of the line. y = -2x + 8

Given two points, write an equation. (3,2) and (-4,9) First, find slope. m= y = mx + b Use one of the points and the slope to find b. 2 = -1(3) + b 1st point is used (3,2) 2 = -3 + b Simplify 5 = b y = -1x + 5 Plug the slope and b back in.

Write an equation given 2 points. Given (3,4) and(-2,7) write an equation. First find the slope. Then pick a point Plug it in and solve for b. Write the equation in slope-intercept form with the m and b you just found.

If you pick the other point it works too! Given (3,4) and(-2,7) write an equation. First find the slope. Then pick a point Plug it in and solve for b. Write the equation in slope-intercept form with the m and b you just found.

You try this one! Given points (2,1) and (0,-3) find the equation of the line. y = 2x -3

Linear Extrapolation When you use a linear equation to predict values that are beyond the range of the data. Try this one: Illia and her friends rented a canoe for 3 hours and paid a total of $45. Canoe rentals: Daily rate plus $10 per hour. Write a linear equation to find the total cost C of renting the canoe for h hours. C = 10h + 15 How much would it cost to rent the canoe for 8 hours? $95