Question

Use the image to answer the question.

Four lines are plotted on a coordinate plane with the x-axis ranging from negative 10 to 10 in increments of 1 and the y-axis ranging from negative 8 to 8 in increments of 1.

Which of these lines is parallel to y=3x−5
? Enter the option number of the correct answer.

Option #1: Line A

Option #2: Line B

Option #3: Line C

Option #4: Line D

(1 point)
Option #

Answer 1

To determine which line is parallel to the line given by the equation \( y = 3x - 5 \), we need to identify the slope of the line in the equation.

The standard form of a linear equation is \( y = mx + b \), where \( m \) is the slope. In this case, the slope \( m \) is 3.

Lines that are parallel to one another have the same slope. Therefore, to find the line that is parallel to \( y = 3x - 5 \), we need to look for a line with a slope of 3.

Since I cannot see the image you are referring to, I can't directly identify the correct option. However, you should look at the options provided and find the line with a slope of 3.

Once you identify the correct line, enter the corresponding option number. If you give me the slopes or equations of the lines from the image, I can help you determine which one is parallel to \( y = 3x - 5 \).