Identifying and Writing Equations of Parallel Lines

This video tutorial explains how to identify and write equations of parallel lines by focusing on their slopes and y-intercepts. It covers the basics of linear functions in slope-intercept form and demonstrates how parallel lines have the same slope but different y-intercepts. The tutorial includes examples of determining if lines are parallel and writing equations for parallel lines using point-slope form. It also applies these concepts to solve geometric problems involving parallel lines on a coordinate plane.

What is the key characteristic of parallel lines in terms of their slopes?

• They have the same y-intercept.

• They intersect at one point.

• They have the same slope.

• They have different slopes.

If two lines have the same slope but different y-intercepts, what can be said about them?

• They intersect at one point.

• They are the same line.

• They are parallel.

• They are perpendicular.

How can you determine if the lines 2x + 3y = 9 and y = 2/3x + 10 are parallel?

• By converting both to slope-intercept form and comparing slopes.

• By checking if they intersect at the origin.

• By comparing their x-intercepts.

• By checking if their y-intercepts are the same.

What is the equation of a line parallel to y = 4/5x + 6 that passes through the point (10, 4)?

• y = 4/5x + 10

• y = 4/5x - 4

• y = 4/5x + 4

• y = 4/5x - 10

Given a line y = -1/6x + 9, what is the equation of a parallel line passing through (18, 10)?

• y = -1/6x + 9

• y = -1/6x + 10

• y = -1/6x + 13

• y = -1/6x + 3