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PS 39 – Coordinate Plane, Comparing Slopes EQ: How can linear equations be manipulated? How do the slopes compare? Important Vocabulary: Standard Form: ax +by =c Slope-Intercept Form: y=mx +b Point-Slope Form: y−y 1 =m ( x−x 1 ) 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=12 b. –x + y=4 c. −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)
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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
