Download Graphing Equations in Slope-Intercept Form ~--

NAME
Graphing Equations in Slope-Intercept Form
Write an equation of a line in slope-intercept form with the given slope and
y-intercept.
1. slope: -j, y-intercept: 3
2. slope: |-, y-intercept: - 4
3. slope: 1.5, y-intercept: - 1
4. slope: -2.5, y-intercept: 3.5
Write an equation in slope-intercept form for each graph shown
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Graph each equation.
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10. 6x + 3y = 6
9. 3y = 2x - 6
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11. WRITING Carla has already written 10 pages of a novel.
She plans to write 15 additional pages per month until she
is finished.
a. Write an equation to find the total number of pages P
written after any number of months m.
b. Graph the equation on the grid at the right.
c. Find the total number of pages written after 5 months.
Chapter 4
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Months
Glencoe Algebra 1
NAME
Writing Equations in Slope-intercept Form
Write an equation of the line t h a t passes t h r o u g h t h e given point and ha s t h e
given slope.
1.
y
i (1,2)
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0
1
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H
X
1
4. (-5, 4); slope - 3
X
0
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X
5. (4, 3); slope —
X
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(-1,-
-2,1); slope —^
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y
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|m = -2 /
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7. (3, 7); slope
3.
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Si
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6. (1, -5); slope - |
9. (5, 0); slope 0
Write an equation of the line t h a t passes t h r o u g h each pair of points.
10.1 1 , yin 1—m
X
y n
11. nIN w
(0,5)
0
S
(4,-2)
(2,-4)
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(-1,-3)
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13. (0, -4), (5, -4)
14. (-4, -2) , (4, 0)
15. (-2, -3), (4, 5)
16. (0, 1), (5, 3)
17. ( - 3 , 0), (1, - 6 )
18. (1, 0), (5, - 1 )
19. DANCE LESSONS The cost for 7 dance lessons is $82. The cost for 11 lessons is $122.
Write a linear equation to find the total cost C for I lessons. Then use the equation to
find the cost of 4 lessons.
20. WEATHER It is 76°F at the 6000-foot level of a mountain, and 49°F at the 12,000-foot
level of the mountain. Write a linear equation to find the temperature T at an elevation
x on the mountain, where x is in thousands of feet.
Chapter 4
14
Glencoe Algebra 1
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NAME
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Point-Slope Form
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Write an equation in point-slope form for t h e line that passes t h r o u g h t h e given
point with t h e slope provided.
1. (2, 2), m
2. (1, -6), m = - 1
3. ( - 3 , -4), m = 0
4. (1, 3), m = -:
5. (-8-, 5), m = — |
6. (3, -3), m =
Write each equation in s t a n d a r d form.
ll = 3(x-2)
8 . y - 10 =-Cx - 2)
9.y + 7 = 2(x + 5)
l O . y - 5 = | { x + 4)
11. y + 2 = — % + 1)
12. y - 6 = -§(*- 3)
13. y + 4 = 1.5(x + 2)
14. y - 3 = -2.4(x - 5)
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4
15. y - 4 = 2.5(x + 3)
Write each equation in slope-intercept form.
16. y + 2 = 4(x + 2)
17.y + 1 = - 7 ( x + 1)
1 8 . y - 3 = -5(x + 12)
1 9 . y - 5 = | ( x + 4)
20.y-I=-3(x+|
21.y-|=-2(x-I
22. CONSTRUCTION A construction company charges $15 per hour for debris removal,
plus a one-time fee for the use of a trash dumpster. The total fee for 9 hours of service
is $195.
a. Write the point-slope form of an equation to find the total fee y for any number of
hours x.
b. Write the equation in slope-intercept form.
c. What is the fee for the use of a trash dumpster?
23. MOVING There is a set daily fee for renting a moving truck, plus a charge of $0.50 per
mile driven. It costs $64 to rent the truck on a day when it is driven 48 miles.
a. Write the point-slope form of an equation to find the total charge y for any number of
miles x for a one-day rental.
b. Write the equation in slope-intercept form.
c. What is the daily fee?
Chapter 4
20
Glencoe Algebra 1
NAME
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Parallel and Perpendicular Lines
Write an equation in slope-intercept form for t h e line t h a t passes through t h e
given point and is parallel to t h e graph of each equation.
1.(3, 2),y = x + 5
2. (-2, 5),y = -4x + 2
3.(4,-6),y = - f x + l
4.(5, 4),y
5.(12, 3), y = | x + 5
>. (3, 1), 2x + y = 5
=jx-2
7. ( - 3 , 4), 3y = 2x - 3
10. ( - 1 , -4), 9x + 3y = 8
(-8, 2), 5x - 4y = 1
J.(-l,-2),3x-y = 5
11. (-5 , 6), 4x + 3y = 1
12. (3, 1), 2x + 5y = 7
Write an equation in slope-intercept form for the line t h a t passes through t h e
given point and is perpendicula r to the graph of each equation.
14. (-6, 5), x - y = 5
15. (-4, -3), 4x + y = 7
17. (2, 4), x - 6y = 2
18. ( - 1 , -7), 3x + 12y = - 6
19. (-4, 1), 4x + 7y = 6
20. (10, 5), 5x + 4y = 8
21. (4, -5), 2x - 5y = -1 0
22. (1, 1), 3x + 2y = - 7
23. (-6, -5), 4x + 3y = - 6
24. ( - 3 , 5), 5x - 6y = 9
13. (-2, -2), y = - jx + 9
(0, 1), x + 5y = 15
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A\y
25. GEOMETRY Quadrilateral ABCD has diagonals AC and BD.
Determine whether AC is perpendicular to BD. Explain.
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26. GEOMETRY Triangle ABC has vertices A(0, 4), B(l, 2), and C(4, 6). Determine whether
triangle ABC is a right triangle. Explain.
Chapter 4
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Glencoe Algebra 1