Finding the Slope of a Line in Coordinate Geometry

The video tutorial explains the concept of slope using a ski lift analogy, highlighting how different lines have varying slopes based on their tilt. It introduces slope as a ratio of rise over run and explains how to determine the sign of the slope. Special cases, such as lines parallel to the x-axis and y-axis, are discussed, with their slopes being zero and undefined, respectively. The tutorial concludes with a practical example of calculating slope using given coordinates.

Which line has the greatest slope?

• The line parallel to the y-axis

• The line with the smallest tilt

• The line with the steepest tilt

• The line parallel to the x-axis

What is the slope of a line with a steep inclination?

• Zero slope

• Smaller slope

• Undefined slope

• Greater slope

How is the slope of a line measured?

• As a product of rise and run

• As a ratio of rise over run

• As a ratio of run over rise

• As a difference between rise and run

What does a positive slope indicate?

• The line rises up and runs to the right

• The line rises up and runs to the left

• The line goes down and runs to the left

• The line goes down and runs to the right

What does a negative slope indicate?

• The line goes down and runs to the left

• The line goes down and runs to the right

• The line rises up and runs to the left

• The line rises up and runs to the right

What is the slope of a line parallel to the x-axis?

• Undefined

• Positive

• Negative

• Zero

What is the slope of a line parallel to the y-axis?

• Zero

• Negative

• Undefined

• Positive

How do you find the rise when calculating the slope?

• By finding the difference in x-coordinates

• By finding the sum of y-coordinates

• By finding the difference in y-coordinates

• By finding the sum of x-coordinates

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

• x2 - x1 over y2 - y1

• y2 - y1 over x2 - x1

• y1 - y2 over x1 - x2

• x1 - x2 over y1 - y2

If the coordinates of two points are (2, 3) and (-2, -3), what is the slope?

• 3/2

• 2/3

• 6/4

• 4/6