Krystina is trying to see if two lines are parallel. The equations of the lines are

y=2/3x+7
y=2/3x−5
Pick the number of the statement that best describes how she should determine if they are parallel.

Statement #1: Krystina should verify that the lines have the same slope but different y- intercepts.

Statement #2: Krystina should verify that the lines have the same y-intercept but different slopes.

(1 point)
Statement #
is the best way for Krystina to determine if the lines are parallel

1 answer

The correct choice is:

Statement #1: Krystina should verify that the lines have the same slope but different y-intercepts.

Lines are parallel if they have the same slope. In this case, both lines have a slope of \( \frac{2}{3} \) but different y-intercepts (7 and -5), which confirms that they are indeed parallel.