Question

1. What is the equation of a line parallel to y = 4/5x + 2 that passes through (1, 2)?

2. What is the equation of a line parallel to y = -5x + 3 that passes through (3, 1)?
3. What is the equation of a line parallel to y = 7x – 8 that passes through (5,-2)?

Thank you

Answer 1

1.y = 4/5x + 6/5 2. y = -5x + 16 3.y = 7x - 37

Explanation:

1. y = 4/5x + b

2 = 4/5(1) + b

2 = 4/5 + b

6/5 = b

y = 4/5x + 6/5

2. y = -5x + b

1 = -5(3) + b

1 = -15 + b

16 = b

y = -5x + 16

3. y = 7x + b

-2 = 7(5) + b

-2 = 35 + b

-37 = b

y = 7x - 37