Understanding the Slope of a Line

The video tutorial explains the concept of slope as the ratio of vertical to horizontal change, using the formula (change in y)/(change in x). It demonstrates how to calculate the slope of a line given two points, using both positive and negative examples. The tutorial also shows how to graph these lines, emphasizing the direction of the slope: uphill for positive and downhill for negative. Key points include understanding the slope formula, recognizing the impact of positive and negative slopes, and visualizing these concepts on a graph.

What is the slope of a line?

• The sum of the vertical and horizontal changes

• The ratio of the horizontal change to the vertical change

• The product of the vertical and horizontal changes

• The ratio of the vertical change to the horizontal change

How do you label the coordinates when calculating the slope?

• X1, Y1 and X2, Y2

• X1, X2 and Y1, Y2

• X, Y and X2, Y2

• X1, Y2 and X2, Y1

What is the slope of the line passing through the points (-8, -5) and (-10, -9)?

• -1

• 2

• -2

• 1

If the slope of a line is positive, how does the line move from left to right?

• Horizontally

• Downhill

• Vertically

• Uphill

What does a slope of 2/1 indicate about the line?

• The line goes up 2 units and left 1 unit

• The line goes up 1 unit and right 2 units

• The line goes up 2 units and right 1 unit

• The line goes down 2 units and right 1 unit

What is the slope of the line passing through the points (X1, Y1) and (X2, Y2) if Y2 - Y1 = 6 and X2 - X1 = -4?

• -2/3

• 3/2

• -3/2

• 2/3

How does a line with a negative slope move from left to right?

• Vertically

• Uphill

• Horizontally

• Downhill

If the vertical change is -3 and the horizontal change is 2, what is the slope?

• -2/3

• 2/3

• -3/2

• 3/2

What does the slope of a line tell us?

• The sum of the changes in X and Y

• The product of the changes in X and Y

• The ratio of the change in Y to the change in X

• The ratio of the change in X to the change in Y

If a line has a slope of -3/2, what happens if you go down 3 units and right 2 units?

• You move off the line

• You reach the end of the line

• You reach the origin

• You find another point on the line