Understanding Slope and Line Direction

The video tutorial explains how to calculate the slope of a line using the formula M = (y2 - y1) / (x2 - x1). It provides examples with different sets of points to demonstrate both positive and negative slopes. The tutorial emphasizes identifying and labeling coordinates before substituting them into the formula, and it highlights the importance of understanding the vertical and horizontal changes between points.

What does the slope of a line represent?

• The midpoint of a line segment

• The horizontal distance between two points

• The vertical distance between two points

• The steepness and direction of a line

Which formula is used to calculate the slope of a line?

• M = x2 - x1 / y2 - y1

• M = y1 + y2 / x1 + x2

• M = y2 - y1 / x2 - x1

• M = x1 + x2 / y1 + y2

What is the slope of a line passing through points (0,0) and (1,4)?

• 1

• 3

• 2

• 4

If a line has a positive slope, what does it indicate about the line's direction?

• The line is horizontal

• The line goes downwards from left to right

• The line goes upwards from left to right

• The line is vertical

Calculate the slope of a line passing through points (2,1) and (3,4).

• 4

• 3

• 2

• 1

What happens to the slope when the line goes downwards from left to right?

• The slope is undefined

• The slope is negative

• The slope is zero

• The slope is positive

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

• -1

• -2

• -3

• -4

How does subtracting a negative number affect the calculation of slope?

• It makes the result zero

• It makes the result negative

• It is the same as adding a positive number

• It has no effect

What is the result of simplifying the expression -1 + 2?

• 3

• -1

• 1

• -3

What does a negative slope indicate about the line's direction?

• The line goes downwards from left to right

• The line goes upwards from left to right

• The line is vertical

• The line is horizontal