Exploring Slope and Equations of Lines

This video tutorial covers the concept of slopes and equations of lines, reviewing material from Algebra 1. It explains how to calculate the slope of a line using the formula m = (y2 - y1) / (x2 - x1) and provides examples of finding slopes from given points. The tutorial also discusses special cases like vertical lines, which have undefined slopes, and includes guided practice problems to reinforce learning.

What is the formula for calculating the slope of a line?

• x2 - x1 / y2 - y1

• y2 - y1 / x2 - x1

• y1 - y2 / x1 - x2

• x1 - x2 / y1 - y2

If the rise is 3 and the run is 6, what is the slope?

• 1/2

• 1/3

• 2

• 3

What is the slope of a line passing through points (-1, -2) and (3, 3)?

• 1/2

• 5/4

• 4/5

• 3/4

What is the slope of a vertical line?

• Infinity

• Undefined

• 1

• 0

What is the slope of the line passing through points (2, 1) and (2, -4)?

• 0

• 1

• Undefined

• Infinity

What is the point-slope form of the equation of a line with slope -3/4 passing through (-2, 5)?

• y + 5 = 3/4(x - 2)

• y - 5 = 3/4(x + 2)

• y + 5 = -3/4(x - 2)

• y - 5 = -3/4(x + 2)

What is the slope of a line that is perpendicular to a line with slope 4?

• -1/4

• -4

• 4

• 1/4

If two lines have slopes of 3 and -1/3, what is their relationship?

• Parallel

• Perpendicular

• Coinciding

• Neither

What is the slope of the line passing through points (1, 1) and (-1, -5)?

• 3

• -3

• 1/3

• -1/3

If two lines have the same slope, what can be said about them?

• They are perpendicular

• They are parallel

• They intersect

• They are undefined