+Warm Up 1) Find d when a1 = 2 and a13 = 11.6

2) Find the first term of a sequence where d = -7 and the 5th term is -19.

+HW Check – 2.1

+

Unit 4 Linear FunctionsSlope and introduction to slope-intercept

+Warm-Up1) -2(x – 4) = 16

2) 2x – 3 = 7x – 18

3) 5x + 10 = 5(x + 2)

+Slope Intercept Form

+

Slope is a rate of change or the steepness of a line

Y-intercept is where it crosses the y-axis or a “start value”

+

+Find Slope and Y-intercept

+Solving for YTo put in Slope-Intercept Form, solve for y. Ex: 2x + y = 7

+Solving for Y2x + 2y = 8

+Solving for Y5x - y = -4

+Graph!

+Graph!

+Graph!

+Graph!

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

CByAx

x-intercept

y-intercept

+Word Problems

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. How many days has the plant been growing?

+Word Problems

2. Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per month. He currently weighs 140 pounds. How many months has he been dieting?

+Word problems3. 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.

If they wash 36 cars, how many vans/trucks do they need to wash to meet their goal.

+Classwork – Pages 2 & 3Homework – Page 4