PS 39 – Coordinate Plane, Comparing Slopes

EQ: How can linear equations be manipulated? How do the slopes compare?

Important Vocabulary:Standard Form: ax+by=cSlope-Intercept Form: y=mx+bPoint-Slope Form: y− y1=m(x−x1)

1. Let’s take a look at linear equation equivalence. Take the following equations and solve for y . This means you will have to isolate y .

a. 3 x+4 y=12b. – x+ y=4c. −2 y+x=8

2. Now look at your manipulated equations from above. What is the slope of each?

a. ______b. ______c. ______

3. Which slope is the greatest? Which is the least?4. Now take your equations and graph below.

a) b)

c) 5. Finally, evaluate the following:−a−4 b+2c−a+4 a+3c−bif a=−2 , b=3 ,c=−1

In-Class Work