Graphing 24 - parallel and perpendicular lines 2

At 8:20 of the video, there is an error: line #3 should be y = -3/2x - 6 because you need to find the opposite reciprocal.

In this lesson, students learn how to write equations of lines that are parallel or perpendicular to a given line, given a point on the line. The lesson uses the slope-point formula to solve for the equation of the line, and also provides some example problems for students to try on their own. Additionally, the lesson covers how to determine whether two lines are parallel, perpendicular, or neither, based on their slopes.

Covers writing equations of lines parallel or perpendicular to a given line if you know a point on the line. This is part 24 of a series of videos about graphing lines.

• How do you write the equation of the line parallel to the line y = 2x - 4 that passes through (-6, -1)?
• How do you write the equation of a line in slope-intercept form that has a given slope and passes through a given point using point-slope form?
• How do you write the equation of the line perpendicular to the line y = 2x - 4 that passes through (-6, -1)?
• How can you find the slope of a line parallel or perpendicular to a given line?
• How do you write the equation of the line passing through (0, -6) with a slope of 5?
• How do you write the equation of the line parallel to y = 4x + 3 passing through (0, -6)?
• How do you write the equation of the line perpendicular to y = 2/3x - 7 passing through (0, -6)?
• Are the lines y = 3x - 4 and 3x - y = 8 parallel, perpendicular, or neither?
• Are the lines y = 2/3x + 5 and y = 3/2x - 1 parallel, perpendicular, or neither?
• Are the lines y = 2x - 3 and y = -1/2x - 3 parallel, perpendicular, or neither?
• How do you re-write an equation in standard form in slope-intercept form?