Slope and Equations Mastery Challenge

This video tutorial reviews key algebra concepts, focusing on slope and line equations. It covers the definition and types of slope, how to calculate slope from a graph, and using the slope formula. The tutorial also explains the slope-intercept and point-slope forms of line equations, including special cases like horizontal and vertical lines.

What is the slope of a line that rises from left to right?

• Undefined

• Positive

• Negative

• Zero

Which type of slope does a horizontal line have?

• Positive

• Negative

• Zero

• Undefined

If a line falls from left to right, what type of slope does it have?

• Positive

• Undefined

• Zero

• Negative

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

• (x1 - x2) / (y1 - y2)

• (y1 - y2) / (x1 - x2)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

What is the slope of the line passing through the points (2, 3) and (4, 7)?

• 2

• 1

• 4

• 1/2

In the slope-intercept form y = mx + b, what does 'm' represent?

• The y-intercept

• The constant term

• The slope

• The x-intercept

What is the equation of a line with a slope of 3 and a y-intercept of -2?

• y = -3x - 2

• y = 3x - 2

• y = 3x + 2

• y = -2x + 3

What is the equation of a horizontal line passing through y = 5?

• x = 5

• y = 5

• x = 0

• y = 0

What is the equation of a vertical line passing through x = -3?

• x = -3

• y = -3

• x = 0

• y = 0

Given the equation y = -4x + 7, what is the slope?

• -4

• 7

• -7

• 4