Question

Which of the following equations is parallel to the graphed line?

(1 point)
Responses

y=−23x+2
y is equal to negative 2 thirds x plus 2

y=23x+3
y is equal to 2 thirds x plus 3

y=−32x−1
y is equal to negative 3 halves x minus 1

y=32x−7

Answer 1

To determine which of the provided equations is parallel to a given line, we need to identify the slope of the line that is being graphed. Lines that are parallel have the same slope.

1. **y=−(2/3)x+2**: The slope is -2/3.
2. **y=(2/3)x+3**: The slope is 2/3.
3. **y=−(3/2)x−1**: The slope is -3/2.
4. **y=(3/2)x−7**: The slope is 3/2.

Please provide the slope of the line that is being graphed so that we can identify which of the provided equations has the same slope and is therefore parallel.