This document contains a worksheet with math problems involving slope, equations of lines, and word problems. Students are asked to write equations of lines in point-slope form, slope-intercept form, and standard form given points and slopes. They are also asked to solve word problems involving rates, proportions, and linear equations modeling real-world scenarios.

1. M117 Name__________________________________
Chapter 5 Teacher________________________________
Worksheet # 2 Date___________________ Hour___________
What is the formula for calculating slope?
slope, m =
Write the equation for
POINT-SLOPE FORM: _____________________________ m =______________ ( x1 , y1 ) =_____________
Write the equation for
SLOPE- INTERCEPT FORM: ______________________ m = ________________, b =_______________
Write the equation of the line in slope intercept form with the given slope and y-intercept.
1) slope: -2 m= b= 1. _______________
y-int:  0,3
2) slope: 4 m= b= 2. ________________
y- int: (0,-4)
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3) slope: m= b= 3. _______________
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y-int:  0, 2 
Write an equation in point slope and slope intercept form of a line that passes through the given point and
has the given slope m.
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4.) (-3, -4); m =  4. Point-slope form __________________
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Slope-intercept form _______________
5.) (5,-6 ); m = -1 5. Point-slope form __________________
Slope-intercept form _______________
6.) (0, -3); m  4 3 6. Point-slope form __________________
Slope-intercept form _______________

2. Write the equation of the line shown in slope- intercept form.
Slope: y – int : slope: y- int: slope: y- int:
7. ___________________ 8.___________________ 9.____________________
Write the equation for STANDARD FORM:____________________________
A, B, and C must be ________________________ and A and B are not both _____________.
Write an equation of the line in point-slope, slope –intercept and standard form that passes through the
given 2 points.
10.) (1, -2) and (-1, 3) 10. Point-slope form _____________________
Slope-intercept form __________________
Standard form _______________________
11.) (-1, 4) and (2, 4) 11. Point-slope form _____________________
Slope-intercept form __________________
Standard form _______________________
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3. 12.) (4, 2) and (6, 6) 12. Point-slope form _____________________
Slope-intercept form __________________
Standard form _______________________
13.) (2, 3) and (3, -2) 13. Point-slope form _____________________
Slope-intercept form __________________
Standard form _______________________
Write an equation in standard form of a line that has the given slope and the passes through the given
point.
14) m  4 3 , ( 3, 4) 14. __________________
15) m = 2, (2, 0) 15. __________________
16) m = 0, (5, 6) 16.____________________
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4. Write an equation of the line that passes through the given points.
17. (5, 9) and (5, -3) 17. ____________________
Solve the following problems.
18 ) A salesman makes 13 dollars per item he sells. How much does he make if he sells 8 items?
18. __________________
19) In an fourth of an hour Josh can run 2 miles. How far can Josh run in 2 hours?
19. ___________________
20) A cell phone company charges a flat fee of 20 dollars plus 3 cents a call. What is the total bill if there was a
total of 200 calls for the month.
20.___________________
21) Write an equation to model the total earnings y (in dollars) in terms of x (the number of hours). Your rate
for math tutoring is 9 dollars an hour. You earned $63 in 7 hours.
a) y  9  7  x  63 b) y  63  7  x  9  c) y  9  7  x  63
d. y  63  9  x  7  e) y  9  63  x  7 
22) Write an equation to model the total charge y (in dollars) in terms of x (the number of miles). A car rental
agency charges a flat fee of 25 dollars plus 4 dollars a mile
a) y  25 x b) y  25 x  4 c) y  4 x  25 d) y  25 x  4 e) y  4 x
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