Algebraic Manipulation Worksheets Page 4

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Write an equation in slope-intercept form of the line that passes
Answers
through the given point and has the given slope m or that
passes through the given points. Show work.
23. _____________
2
23. (–5, –4), m =
24. _____________
5
25. _____________
_____________
_____________
24. (4, 9), (4, –1)
_____________
_____________
25. Determine whether the figure is a right triangle. A right triangle
27. _____________
contains one 90˚ angle. Justify your answer using slopes. Show work.
28. _____________
In Exercises 26-28, use the table. It shows the gas mileages
(in miles per gallon) for cars of different weights (in thousands
of pounds).
2
2.4 2.5 2.8 2.9
3.1 3.2 3.5 3.6 3.9
Weight
Mileage 34
34
28
23
25
23
23
22
24
18
26. Make a scatter plot of the data.
27. Describe the correlation.
28. Predict the gas mileage for
a car the weights 3400 pounds.

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