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Linear Functions Test 2 Review

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Name __________________________________________________ Date ___________________________
Review for Linear Functions Test 2
– Algebra 1 AB
Part I. Find the slope of each line between the two points.
1. (4, 5) and (4, -2)
2.
3. (5, 7) and ( –3, 8)
Part II. Find the slope and y-intercept, then graph.
4. 2x+5y = 15
5. y = 3x - 1
m = ________
m = ________
b = ________
b = _________
Part III. Use a graphing calculator to determine the equation of the line of regression and the correlation
coefficient for the following table.
6. equation: ___________________
7. Correlation coefficient: ____________
Part IV. Write the equation of the line, given the slope and y-intercept.
2
8. slope=
y-intercept=  3
9. slope= 4 y-intercept= 5
3
Part V. Write the equation of the line in point-slope form that goes through the following point with the
given slope.
10. m = 3
(12, -7)
Part VI. Write the equation of the line that goes through the two points, in slope-intercept form.
11. (-2, 6) and (4, 9)
12. (1, 3) and (2, -5)
Part VII. Write the equation for the line in slope-intercept form that is parallel to the given line and passes
through the given point.
13. y = -4x + 7 through (1, -12)
Part VIII. Write the equation of the line in slope intercept form that is perpendicular to the given line and
contains the given point.
3
14. y =  x + 5 through (9, 1)
5
Part IX. Follow the directions for each question.
15. Change y + 7=
3
( x - 8) into:
4
16. The cost of summer school is $50 plus $100 per
class.
a. Write an equation that illustrates this situation:
a. Slope-intercept form: _____________
b. Standard form:____________
_______________________________
b. What is the cost for attending 4 classes?
________________________________
Part X. Determine if the following scatter plots have a Positive, Negative or No Correlation.
17.
18.
Part XI. Write the inverse function of the following functions.
19 f(x)=3x+6
20. f(x)=4x – 5
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