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CHAPTER 4 & 5 REVIEW
1. Determine if each of the following equations represents a direct variation. If the
equation is direct then find the constant of variation.
(A) 2 y  5 x  1
(B) 5 x  6 y  0
(C) y  13 x Yes, 1/3
Not a representation
Yes, 5/6
2. Find the rate of change for each situation:
(A) Over a 4 week period the grass grew 2 inches.
½ in per week
(B) It took Sammie 45 minutes to type a 9000 word essay.
200 words per minute
3. Determine the slope of each of the
4. Determine the slope of a line that
following lines.
passes through each of the given set of
points.
Line A m = 5/4
Line B
Line C
(A) (1, 5), (3, 4) -1/2
Vertical
Line: m =
(B) (1, 0), (1, -5) Undefined
undefined
(C) (2, 3), (1, 6) -3
(D) (0, -4), (-3, -4) 0
Line D
horizontal
line: m = 0
5. Determine the x– and y-intercepts of the line in each graph:
(A)
(B)
x-int (-6, 0), y-int (0, 3)
x-int (5, 0) y-int (0, 4)
6. Determine the x– and y-intercepts of the graph of each equation: 4 x  6 y  8
x-int (2, 0), y-int (0, 4/3)
7. Write an equation in Slope-Intercept Form and Standard Form of a line with the given
slope and y-intercept: m = 3, b = -5
Slope Intercept: y = 3x -5, standard form: y – 3x = -5
CHAPTER 4 & 5 REVIEW
8. Find the slope and y-intercept of each equation: 3x  2 y  8
Slope: 3/2, y-int (0, -4)
12. Write an equation in Point-Slope Form of a line that passes through the given point and
has the given slope: m = 13 , (-6, -7)
y + 7 = 1/3(x+6)
13. Write an equation in Standard Form of a line that passes through the given point and
has the given slope: m = 1, (-2, 3)
y–x=5
14. Write an equation in Point-Slope Form of a line that passes through the two points:
(4, 1), (5, 6)
y – 6 = 5(x – 5) OR y – 1 = 5 (x-4)
15. Write an equation in Standard Form of a line that passes through the two points: (3, 4),
(5, 10)
y – 10 = 3 (x – 5) OR y-4 = 3 (x – 3)
18. Make a scatter Plot of the data. Draw a line of fit. Write an equation of the line.
Line of Best Fit: Something close to y = 5x-4 (remember to have the calculator graph to check)
X 0 2 4 8 10
Y -2 6 15 38 50