Warm Up -2(x – 4) = 16 2x – 3 = 7x – 18 5x + 10 = 5(x + 2)

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Objective - To graph linear equations using the slope and y-intercept.

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Presentation transcript:

Warm Up -2(x – 4) = 16 2x – 3 = 7x – 18 5x + 10 = 5(x + 2)

Linear Functions

slope: rate of change (or the steepness) of a line y-intercept: the coordinate where the line intercepts the y-axis or a “start value”

Find the slope and the y-intercept of each equation.

Find slope and y-intercept

Convert to slope-intercept form. To put in Slope-Intercept Form, solve for y. Ex: 2x + y = 7

Convert to slope-intercept form. 2x + 2y = 8

Convert to slope-intercept form. 5x - y = -4

Graph!

Graph!

Graph!

Where A, B, and C are coefficients, and x and y are our variables. Standard Form: Where A, B, and C are coefficients, and x and y are our variables. (C/B) is our y-intercept (C/A) is our x-intercept y-intercept x-intercept

Word Problem: Example 1 Lin is tracking the progress of her plant’s growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day.

Word Problem: Example 2 Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per month.

Word Problem: Example 3 The freshman class holds a car wash to raise money they need a total of 1600 dollars. A local merchant donates all the supplies. A wash costs $5 per car and $6.50 per van or truck. Write an equation to model this situation.