Find an equation of the line that is parallel to the graph of 2x+3y=5 and contains the point (3, −1).

2x + 3y = 3

Step-by-step explanation:

Parallel lines have same slopes.

Given line:

2x + 3y = 5 ⇒3y = -2x + 5 ⇒y = -2/3x + 5/3

Parallel line is:

y = -2/3x + b

It passes through the point (3, -1), so the y-intercept is:

-1 = -2/3*3 + b-1 = -2 + bb = -1 + 2b = 1

The line is:

y = -2/3x + 1 ⇒ 3y = -2x + 3 ⇒ 2x + 3y = 3

You can find the area of a rectangle by multiplying the length and height. so multiply 1/2*7/4(which is the simpler version of 1 3/4) and you get 7/8 as your answer.

The correct answer is -4