1.What is the slope of the line through the points (-4, -2) and (-1, -7)? 2.What is the slope-intercept form of 3x+9y=27? 3.The cost of renting a moving van is $25 a day, plus $0.35 per mile driven. Write an equation to model this situation. Warm-Up

REVIEW- LINEAR EQUATIONS

SOLVE for each variable. 1) 5( r + 3) = -2 ( r + 9 ) 2) 2 ( -2x + 4) = 4 (-x + 2) 3) 3 ( x + 7) = 3 ( x – 9)

Meaning of…. All real numbers? No solution?

Summary Slope - Int. Form Standard FormPoint - Slope Form y=mx+bAx+By=Cy-y 1 =m(x-x 1 ) X and y are variables M=slope b=y-intercept A, B, & C are whole integers (x 1 y 1 ) is a point on the equation or graph, m is slope

Converting Forms to Standard Form to Slope Intercept Form

Graphing a line given the equation Step 1: Graph the y-intercept. Step 2: Using the slope, graph a second point on the line. Step 3: Draw a line through the two points

In word problems use… Slope Intercept Form- Word Problems that have a flat fees/one-time payments Standard Form- With two items that add up to a total

Word Problems: 1) In American Football, a field goal earns 3 points and a touchdown (with extra point) earns 7. The Panthers scored 48 points in there most recent game, with 6 touchdowns. How many field goals did they score? (Write an equation and label your variables)

2) Rachael belongs to a local gym. Rachael pays $35 per month and a one-time registration fee of $15. a)Write an equation. b)If she has been a member of this gym for 6 months, how much money has she spent overall for the gym?

3) Suppose you spend $30.00 on snacks for a party. The dried shrimp cakes cost $3.00 per pound and the chocolate–covered mushroom stems cost $4.50 per pound. a)Write an equation that represents the different amounts (in pounds) of shrimp cakes, S, and mushroom stems, M, you could buy. b) If you buy 2 pounds of mushroom stems, how many pounds of shrimp cakes can you buy?