1.Write an equation of the line containing the given points and parallel to the given line (3,8); x+5y=3

Question

2. Write an equation of the line containing the given points and parallel to the given line (-3,6); 5x=9y+2

3. Write an equation of the line containing the given points and perpendicular to the given line (4,5); 9x+y=7

4. Write an equation of the line containing the given points and perpendicular to the given line (5,-2); 9x+2y=7

5. Media Services charges $30 for a phone and $20/month for its economy plan. Find a model that determines the total cost, C(t), of operating a Media Services phone for t months. C(t)=?

Answer 1

1. (3,8), x + 5y = 3.

m = m2 = -A/B = -1/5.

y = mx + b,
y = (-1/5)3 + b = 8,
b = 8 3/5.

y = (-1/5)x + 8 3/5.

2. Same procedure as #1.

3. (4,5), 9x + y = 7.
m = -9/1 = -9.
m2 = 1/9.

y = (1/9)4 + b = 5,
b = 5 - 4/9 = 4 5/9.
y = (1/9)x + 4 5/9.

4. Same procedure as #3.

5. C(t) = 20t + 30.