System of Equations + Standard to S-I Form

Random

100

What is the slope in this equation?

y = x - 100

m (slope) = 1 or 1/1

200

What is the rise and run in this equation?

y = 2x + 3

The Rise is 2 and Run is 1.

You can always divide by 1 to get a fraction.

300

What types of lines do you graph with the equation y = mx + b?

Linear lines! Straight lines!

400

What should you put on the end of lines to show that they continue until infinity (∞)?

ARROWS! <--------->

500

We learned about None, One, and infinite solutions. Draw 2 lines that have TWO solutions.

You should have drawn at least 1 NON-linear (curvy) line

Converting to y=mx+b

100

Write in slope-intercept form:

6x + 3y = 12

y = -2x + 4

200

Change into Slope-Intercept Form: 

8x + 2y = 16

y = -4x + 8

300

Rewrite the equation in slope-intercept form:

−6x + 3y = 9

y = 2x + 3

400

Change to slope-intercept form: 

4x + 2y = 10

y = -2x + 5

500

Rewrite the equation in slope-intercept form:

−7x − 5y = 20

y = -7/5x - 4

Graphing System of Equations

100

Graph this system of equations and write the solution:

y = 1x + 2

y = -2x + 5

(1,3)

200

Graph this system of equations and write the solution:

y= 5x + 2

y= -1x + 8

(1,7)

300

Graph this system of equations and write the solution:

y = 1/2x + 3

y = 1x + 1

(4,5)