Warm–up #1. Warm–up #1 Solutions 1. Find midpoint between (a, b) & (b, a)

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Presentation transcript:

Warm–up #1

Warm–up #1 Solutions 1. Find midpoint between (a, b) & (b, a)

Warm–up #1 Solutions

Homework Log Thurs 10/29 Lesson 3 – 1 Learning Objective: To find slope & graph equations Hw: #302 Pg. 168 #31 – 63 odd

10/29/15 Lesson 3 – 1 Graphing Linear Equations Day 2 Advanced Math/Trig

Learning Objective To find slope of a line given an equation To find missing coordinate given slope To find missing coordinate of collinear points To determine whether four given points are vertices of a parallelogram To sketch a graph of equations

Given Ax + By = C, find slope Or get into y = mx + b 4x – 2y = 20 –4x –2y = –4x + 20 –2 –2 –2 y = 2x – 10

Find slope 2. x – 7 = 0 Since no y, just solve for x x = 7 Vertical line Slope is undefined 3. y = –2 Horizontal line Slope = 0

Applying Midpoint Set each coordinate part = to each other

Applying Slope –3(x+2) = 1(–15) –3x – 6 = –15 –3x = –9x = 3

Make a table and plug values into y and solve for x y x Sketch the graph │ –2 │ –1 │ –1 │ – 1 │ 0 │ – 1 │ 1 │ –1 │ 2 │ – 1 –2 – x │ y │ – 1y

y x Sketch the graph Plug values into y & solve for x –2 – yy 2 + 1x (–2) (–1) (0) (1) (2)

Parallelogram To determine vertices of Parallelogram: Sketch a graph Show Opp. Sides are parallel → same slope

Determine whether the four given points are vertices of a parallelogram. 8. (–1, 1), (–2, –1), (1, –4), (0, –6) DON’T ASSUME that you know which points make opposite sides and you need to find the slope for. Always sketch a graph!

Determine whether the four given points are vertices of a parallelogram.

#8 Continued

Word Problem 9. The trade in value V of a forklift machine after t years of use is V = – 2000t dollars. Graph this equation with appropriate restrictions on the variables. Value (y) won’t go below 0, depends on years (x), which also won’t go below 0. Graph by finding y – intercept & x – intercept.

#9 continued 9. V = – 2000t dollars y = –2000x (0, 16000) & (8, 0) time value

Ticket Out the Door Determine whether the four given points are vertices of a parallelogram. (2, 4), (3, 8), (1, –8), (4, 4) Explain why or why not.

Homework #302 Pg. 168 #31 – 63 odd