Equations of Parallel and Perpendicular Lines in Point-Slope Form

This video tutorial covers the basics of slope-intercept and point-slope forms in algebra. It explains how to write equations for lines that are parallel or perpendicular to a given line, using examples to illustrate the process. The tutorial also demonstrates how to graph these lines and concludes with a reflection on the differences and similarities in graphing parallel and perpendicular lines.

What is the slope-intercept form of a line?

• x = my + b

• y = mx + b

• y - y1 = m(x - x1)

• ax + by = c

In point-slope form, what does 'm' represent?

• The x-coordinate of a point

• The slope

• The y-intercept

• The y-coordinate of a point

What is the slope of a line parallel to y = 1/2x + 3?

• 1/2

• -2

• 2

• -1/2

If a line passes through the point (3, 1) and has a slope of 1/2, what is its point-slope form?

• y - 1 = 1/2(x - 3)

• y + 1 = 1/2(x + 3)

• y - 3 = 1/2(x - 1)

• y + 3 = 1/2(x + 1)

What is the slope of a line perpendicular to y = -1/2x + 3?

• -2

• -1/2

• 1/2

• 2

If a line passes through the point (1, 4) and is perpendicular to y = -1/2x + 3, what is its point-slope form?

• y + 1 = 2(x + 4)

• y - 1 = 2(x - 4)

• y + 4 = 2(x + 1)

• y - 4 = 2(x - 1)

What is the slope of a line parallel to a line with a slope of -2?

• -1/2

• 1/2

• -2

• 2

If a line passes through the point (0, -2) and has a slope of -2, what is its slope-intercept form?

• y = -2x + 2

• y = 2x + 2

• y = 2x - 2

• y = -2x - 2

What is the slope of a line perpendicular to a line with a slope of 3?

• -3

• 3

• 1/3

• -1/3

If a line passes through the point (0, -2) and is perpendicular to a line with a slope of 3, what is its slope-intercept form?

• y = -1/3x - 2

• y = 3x - 2

• y = -3x - 2

• y = 1/3x - 2