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Warm Up #10 1.) Graph 5x + 7y =35 2.) Graph y= 2x -3

Warm Up #10

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Warm Up #10. 1.) Graph 5x + 7y =35 2.) Graph y= 2x -3. Graph 5x + 7y =35. Solve for “y” 7y = -5x +35 Y = -5/7 x + 5. Find 3 points using the table, and graph the line of the equation. y = 2x - 3. 1. -1. 0. -3. -5. -1. 7.3 Linear Equations and Their Graphs. - PowerPoint PPT Presentation

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Page 1: Warm Up #10

Warm Up #10

1.) Graph 5x + 7y =35

2.) Graph y= 2x -3

Page 2: Warm Up #10

Graph 5x + 7y =35

Solve for “y”

7y = -5x +35

Y = -5/7 x + 5

X -values Y= -5/7x +5 Y- values (X, Y)

7 -5/7(7)+5 0 (7, 0)

0 -5/7(0)+5 5 (0,5)

-7 -5/7(-7)+5 10 (-7, 10)

Page 3: Warm Up #10

Find 3 points using the table, and graph the line of the equation. y = 2x - 3

1 -1

0 -3

-1 -5

Page 4: Warm Up #10

7.3 Linear Equations and Their Graphs

Page 5: Warm Up #10

Linear Equations(Graphs are straight lines)

1. Equation is linear only if the each variable has an exponent of “1”.

2. (exponent in denominator is not linear)

3. Products of variables not linear, ie (x)(y)

y = 2x + 1

y = x2 + 1

y – 3x = -7

5y = 14 xy = 2

xy

2

2

xy

11

33x

x

Page 6: Warm Up #10

4

3

2

1

-1

-2

-3

-6 -4 -2 2 4 6

A

B

y - intercept

x - intercept

y

X

Page 7: Warm Up #10

Graphing using Intercepts1) Let x=0 and determine the y-intercept.2) Let y=0 and determine the x-intercept3) Plot both points. Connect them with a

line.

Page 8: Warm Up #10

6

5

4

3

2

1

-1

-2

-3

-4

-5

-8 -6 -4 -2 2 4 6 8

Graph 4x + 3y = 12 using intercepts

Find x-intercept

4x + 3(0) = 12

Find y-intercept

4(0) + 3y = 12

4x = 12x = 3

3y = 12

y = 4

Page 9: Warm Up #10

6

5

4

3

2

1

-1

-2

-3

-4

-5

-8 -6 -4 -2 2 4 6 8

Graph 2x + 3y = 12 using intercepts

x y0

04

6

Page 10: Warm Up #10

6

5

4

3

2

1

-1

-2

-3

-4

-5

-8 -6 -4 -2 2 4 6 8

Graph 3x + 5y = 15 using intercepts

x y0

03

5

Page 11: Warm Up #10

6

5

4

3

2

1

-1

-2

-3

-4

-5

-8 -6 -4 -2 2 4 6 8

Graph 5x - 2y = 10 using intercepts

x y0

05

2

Page 12: Warm Up #10

6

5

4

3

2

1

-1

-2

-3

-4

-5

-8 -6 -4 -2 2 4 6 8

Graph 2y = 3x - 6 using intercepts

x y0

03

2

Page 13: Warm Up #10

Horizontal and Vertical Lines

• The graph of y= # is HORIZONTAL

• The graph x =# is VERTICAL

Page 14: Warm Up #10

6

5

4

3

2

1

-1

-2

-3

-4

-5

-8 -6 -4 -2 2 4 6 8

Graph 4y = 16 using 3-points

x y

036

Page 15: Warm Up #10

6

5

4

3

2

1

-1

-2

-3

-4

-5

-8 -6 -4 -2 2 4 6 8

Graph 3x = 18 using 3-points

x y

03

- 4

Page 16: Warm Up #10

Differences between graphing by using a table and graphing by finding the x and y intercepts

• When graphing by a table you need to solve for y (Slope Intercept Form y=mx+b)

• When graphing by finding the x and y intercepts you do not have to solve for y (Standard Form Ax +By =C)

Page 17: Warm Up #10

Assignment

Page 316( 16 – 42 even and 45-49 all)