Graphing Linear Equations. 1. Rearrange the equation into y = mx + b form. (Solve for y) 2. Make...

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Section 7.2 Graphing Linear Equations

Transcript of Graphing Linear Equations. 1. Rearrange the equation into y = mx + b form. (Solve for y) 2. Make...

Page 1: Graphing Linear Equations.  1. Rearrange the equation into y = mx + b form. (Solve for y)  2. Make an x|y table. Choose any 3 values for x.  3. Sub.

Section 7.2Graphing Linear Equations

Page 2: Graphing Linear Equations.  1. Rearrange the equation into y = mx + b form. (Solve for y)  2. Make an x|y table. Choose any 3 values for x.  3. Sub.

1. Rearrange the equation into y = mx + b form. (Solve for y)

2. Make an x|y table. Choose any 3 values for x.

3. Sub each x value into the equation and solve for y.

4. Plot each (x, y) point and connect with a straight line.

Method 1: Plotting points

Page 3: Graphing Linear Equations.  1. Rearrange the equation into y = mx + b form. (Solve for y)  2. Make an x|y table. Choose any 3 values for x.  3. Sub.

1. y = 3x – 2

2. 4x + 3y = -9

EX: Make a table and graph

Page 4: Graphing Linear Equations.  1. Rearrange the equation into y = mx + b form. (Solve for y)  2. Make an x|y table. Choose any 3 values for x.  3. Sub.

1. Set y = 0 and solve for x. This point is the x-intercept (a, 0)

2. Set x = 0 and solve for y. This point is the y-intercepts, (0, b)

3. Select one other x-value and plug into find y. This gives 3rd point, (x, y)

4. Plot all three points and connect with a straight line.

Method 2: Using Intercepts

Page 5: Graphing Linear Equations.  1. Rearrange the equation into y = mx + b form. (Solve for y)  2. Make an x|y table. Choose any 3 values for x.  3. Sub.

1. 2x – y = 4

2. 5x + 2y = -10

EX: Graph using intercepts

Page 6: Graphing Linear Equations.  1. Rearrange the equation into y = mx + b form. (Solve for y)  2. Make an x|y table. Choose any 3 values for x.  3. Sub.

The graph of the equation x = a is a vertical line at a on the x-axis.

The graph of the equation y = b is a horizontal line at b on the y-axis.

Vertical and Horizontal Lines

Page 7: Graphing Linear Equations.  1. Rearrange the equation into y = mx + b form. (Solve for y)  2. Make an x|y table. Choose any 3 values for x.  3. Sub.

1. x = ½

2. y = -3

EX: Graph

Page 8: Graphing Linear Equations.  1. Rearrange the equation into y = mx + b form. (Solve for y)  2. Make an x|y table. Choose any 3 values for x.  3. Sub.

1. Review section 7.1 and 7.2 material (a little this week, and some next week), so you don’t forget it all! There are lots of practice problems in the text, and you have a review packet.

2. If you have to retake ch 3, study that material. Ch 3 retakes will be given during class on Mon, Jan 3rd. If you don’t have to retake, you don’t need to come on that day.

Over break…