Alg homework. Help. 10 pts best answer?

1. (3, 4);m = - y – 4 = -(x – 3) y + 4 = -(x – 3) y – 4 = (x – 3) y – 4 = -(x + 3) 2. (0, -3); m = 18 y – 3 = 18x y – 3 = -18x y + 3 = 18x y + 3 = -18x 3. (-7, -5); m = 0 y + 5 = x + 7 y – 5 = 0 x = -7 y = -5 4. Write an equation for the line through the points (2, -6) and (-1, -4). y –... show more 1. (3, 4);m = -
y – 4 = -(x – 3)
y + 4 = -(x – 3)
y – 4 = (x – 3)
y – 4 = -(x + 3)

2. (0, -3); m = 18
y – 3 = 18x
y – 3 = -18x
y + 3 = 18x
y + 3 = -18x

3. (-7, -5); m = 0
y + 5 = x + 7
y – 5 = 0
x = -7
y = -5

4. Write an equation for the line through the points (2, -6) and (-1, -4).

y – 6 = -(x – 2)
y + 6 = (x – 2)
y + 6 = -(x – 2)
y + 6 = -(x + 2)

Write an equation of the line that is parallel to the given line and that passes through the given point.

5. x + y = 3; (5, 4)
y – 4 = (x – 5)
y – 4 = -(x – 5)
y + 4 = -(x – 5)
y – 4 = -(x + 5)

6. 3x + 2y = 1; (-2, 6)
y + 6 = -(x + 2)
y – 6 = -(x – 2)
y – 6 = -(x + 2)
y – 6 = -(x + 2)

Write an equation of a line that is perpendicular to the given line and that passes through the given point.

7. y = -4x + 2; (0,2)
y – 2 = x
y – 2 = -x
y – 2 = 4x
y + 2 = x

8. y = x + 6; (-6, 2)

y – 2 = (x + 6)
y – 2 = -(x + 6)
y – 2 = -(x + 6)
y + 6 = -(x – 2)


For Exercises 1-5, solve each system using elimination.

1. 2x + 5y= 2
3x – 5y = 53


(11, 4)
(11, -4)
(5, 0)
(5, -10)

2. -8x – 3y = 69
8x + 7y = -65


(-9, 1)
(9, -1)
(1, -9)
(0, 4)

3. 4x + 2y = 34
10x – 4y = -5


(14, -2)
(3.5, 10)
(18, 0)

4. 11x – 13y = 89
-11x + 13y = 107


(0, 0)
(11, -13)
(-11, 13)
no solution

5. 3x + 6y = 42
-7x + 8y = -109

(-4, 14)
(-10, 2)
(0, 7)
(15, )

6. You have a total of 21 coins, all nickels and dimes. The total value is $1.70. Write and solve a system of equations to find the number of dimes d and the number of nickels n that you have.

n + d = 21, n + d = 1.70; 8 nickels, 13 dimes
n + d = 21, n – d = 1.70; 12 nickels, 9 dimes
nd + 1.70 = 21, 10n + 5d = 21; 12 nickels, 9 dimes
n + d = 21, 0.05n + 0.10d = 1.70; 8 nickels, 13 dimes

7. Business Suppose you start an ice cream business. You buy a freezer for $200. It costs you $.35 to make each single-scoop ice cream cone. You sell each cone for $1.20. Write and solve a system of equations to find the break-even point for your business.

200.35x = y, 1.20x = y; about 236 ice cream cones
0.35x = 200, 1.20x = y; about 686 ice cream cones
y = 200 + 0.35x, y = 1.20x; about 236 ice cream cones
200x = 0.35y, y = 1.20x; about 686 ice cream cones

8. To go to a campsite 12 miles away, you paddle a canoe aganist the current of a river for 4 hours. During your return trip you paddle with the current, and you travel the same distance in 3 hours. Write and solve a system of equations to find your paddling speed in still water. Find the speed of the current of the river.

x + y = 12, x – y = 7; 9.5 mi/h, 0.5 mi/h
x + y = 4, x – y = 3; 3.5 mi/h, 0.5 mi/h
x + y = 3, x – y = 4; 3.5 mi/h, 0.5 mi/h
3x + 4y = 12; 4 mi/h, 3 mi/h
6 answers 6