Question

Help. The problem is in the picture

Answer 1

Answer:

The answer to your question is y = 2/3x + 4

Step-by-step explanation:

Data

Equation     y = 2/3 x + 5

New line = ?

Process

Two lines are parallel if the have the same slope. The slope is the coefficient of the x.

1.- Get the slope of the original line

                y = 2/3x + 5

   slope = 2/3

2.- Two find the equation of a parallel line we need to point I will use (0, 4)

Use the point slope formula

               y - y1 = m(x - x1)

               y - 4 = 2/3(x - 0)

               y - 4 = 2/3 x

              y = 2/3x + 4