Slope Concepts: Rise over Run Explained

This video tutorial covers the concept of slope, defined as the ratio of rise over run, and explains how to calculate it using points on a line. It discusses different types of slopes, including positive, negative, zero, and undefined slopes, and demonstrates how to find the slope from a graph. The tutorial also guides viewers on drawing lines with a given slope, emphasizing the importance of plotting points accurately and understanding the direction of the slope.

What does the term 'slope' refer to in mathematics?

• The horizontal distance between two points

• The vertical distance between two points

• The ratio of vertical change to horizontal change

• The angle between a line and the x-axis

In the context of slope, what is 'rise'?

• The horizontal change between two points

• The vertical change between two points

• The total distance between two points

• The angle of inclination of a line

How do you simplify the slope ratio 4/6?

• 2/3

• 3/2

• 4/3

• 1/2

If a line goes down as you move from left to right, what type of slope does it have?

• Undefined

• Positive

• Negative

• Zero

What type of slope does a horizontal line have?

• Positive

• Negative

• Zero

• Undefined

What type of slope does a vertical line have?

• Undefined

• Zero

• Negative

• Positive

When finding the slope from a graph, what is the first step?

• Calculate the ratio of rise to run

• Pick two points where the line crosses the grid

• Identify the run

• Identify the rise

If you go down 2 units and right 4 units, what is the slope?

• 1/2

• 2/4

• -1/2

• -2/4

Given a point (-1, 2) and a slope of 3/2, what is the next step to draw the line?

• Move left 3 and up 2

• Move up 3 and right 2

• Move right 3 and up 2

• Move down 3 and left 2

How can you handle a negative slope when drawing a line?

• Move left and right only

• Move up and down only

• Move up and right or down and left

• Move up and left or down and right