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Plot the points on a coordinate plane:A(-4, 1)B(7, 2)C(0, -5)D(-1, -6)E(6, 0)

Answers to Homework1. 82. 233. 7/94. 13x – 35. 7x – 306. – 4x3 + x2 – 7x + 127. 488. 649. 010. x = 311. x = 2

12. x = 113. x = –6 14. x = 215. x = 1916. x = 817. x = 2518. x = –36 19. 12x + 30 = 72; x = 3.5 hrs20. 2.50x + 11 = 27; x = 6 dogs21. 36 = ½(8)(d2); d2 = 9 in22. (x) + (x+1)+(x+2)+(x+3) = 230; x = 56 #’s are 56, 57, 58, 59

Homework

Graphing Practice WorksheetReview section on graphing in summer packetPrepare questions for

“Working without graphs”“Completing tables”

Summer Packet ReviewGraphing Linear EquationsDetermining Equations from Graphs

Objective

Students will be able to:To graph lines from equationsDetermine the slope, x-intercept, y-intercept and equation of a line from a graph

Graphing Lines using Slope – Intercept Form (y = mx + b)

1. Write equation in slope intercept form

2. Plot y-intercept (b)3. Turn slope into fraction

if it is not already

4. Beginning at the y – int, plot 3 or 4 points using the slope

5. Draw line

5 4y x 4 5y x

41m

Graph the equation20 43 x y

2 43y x

Graphing Lines using Standard Form (Ax + By = C)

1. Write equation in standard form

2. Find the x – intercept by making y = 0 and plot.

3. Find the y – intercept by making x = 0 and plot.

4. Connect the points in a line

6 2y x 2 6x y

2 (0) 6x 3x

2(0) 6y 6y

Graph the equation5 2 10 0x y 5 2 10x y

Special Lines Vertical

m = Undefined slopeEquation: x = #Has x – int, but no y - int

Horizontalm = 0Slope of zeroEquation: y = #Has y – int, but no x - int

Graph the equation6y

Graph the equation7x

Finding equations from Graphs1. Determine y – intercept

Point: (0, 3)2. Determine slope using

any 2 points on line• Slope is ¾

3. Write equation in slope-intercept form• y = ¾ x + 3

Finding equations from graphsFind:• x – intercept• y – intercept• slope• equation

(6, 0)(0, 2)

2 16 3

13 2y x

Finding equations from graphsFind:• x – intercept• y – intercept• slope• equation

(-6, 0)(0, 6)66 1

y = x + 6