Understanding Slopes and Equations

The video tutorial explains how to find the slope of a line using coordinates instead of a graph. It covers the formula for slope as the difference in y-values over the difference in x-values, with examples demonstrating the calculation. The tutorial also discusses special cases of slopes, such as vertical lines with undefined slopes and horizontal lines with zero slopes, and how to express these as equations.

What is the slope of a line defined as?

• The sum of x and y coordinates

• The ratio of rise over run

• The ratio of horizontal to vertical change

• The difference between x and y coordinates

In the slope formula, what does y2 - y1 represent?

• The horizontal distance between two points

• The vertical distance between two points

• The sum of the y-coordinates

• The difference in x-coordinates

If the coordinates of two points are (4, 6) and (5, 8), what is the slope of the line?

• 2/3

• -2/3

• 3/2

• -3/2

What is the result of dividing a negative number by another negative number?

• A negative number

• A positive number

• Zero

• Undefined

How can you simplify the fraction 4/6?

• 4/5

• 1/2

• 2/3

• 3/4

What is the slope of a vertical line?

• One

• Undefined

• Negative

• Zero

What is the equation of a vertical line crossing the x-axis at 2?

• x = -2

• y = 2

• x = 2

• y = -2

What is the slope of a horizontal line?

• Negative

• Zero

• Undefined

• One

If a horizontal line crosses the y-axis at -3, what is its equation?

• y = 3

• x = 3

• y = -3

• x = -3

What does the equation y = 4 represent?

• A diagonal line with a slope of 4

• A line with an undefined slope

• A horizontal line crossing the y-axis at 4

• A vertical line crossing the x-axis at 4