Finding the Slope from a Graph

This video tutorial covers the concept of slope, including its types: positive, negative, zero, and undefined. It explains how to calculate slope using the rise over run method by drawing a right triangle between two points on a line. The tutorial includes practice exercises for finding slopes of lines, both positive and negative, and addresses how to handle different axis scales. The importance of using improper fractions for slope is also discussed.

What does the slope of a line represent?

• The vertical distance between two points

• The rate of change between any two points on the line

• The difference in x-values between two points

• The horizontal distance between two points

What does an undefined slope indicate about a line?

• The line is horizontal

• The line has no points

• The line is vertical

• The line goes through the origin

What is the formula used to calculate slope?

• Change in y over change in x

• Change in x over change in y

• Rise over run

• Run over rise

What does a slope of 2/3 indicate about a line?

• For every 2 units up, it goes 3 units right

• For every 3 units up, it goes 2 units right

• For every 2 units down, it goes 3 units left

• For every 3 units down, it goes 2 units left

How does the concept of 'rise over run' help in finding the slope?

• It identifies the intercepts of the line

• It measures the curvature of the line

• It calculates the vertical and horizontal changes between two points

• It determines the length of the line

How do you determine if a slope is positive or negative?

• By the color of the line

• By the length of the line

• By counting the number of points on the line

• By the direction the line is moving from left to right

Why do we use improper fractions to express slope?

• Because proper fractions are not allowed in mathematics

• To accurately represent the rise over run

• To make it easier to graph

• To simplify the calculation

When the y-axis is scaled differently, how does it affect slope calculation?

• The slope calculation remains unchanged

• The run must be adjusted according to the scale

• Both the rise and run must be multiplied by the scale

• The rise must be adjusted according to the scale

What is the slope of a line that goes through perfect corners and has a rise of 5 and a run of 1?

• 5/1

• 5

• 1/5

• -5

Can the slope of a line change if different points on the line are chosen for calculation?

• No, it remains constant regardless of the points chosen

• Yes, it changes with different points

• No, but only if the line is straight

• Yes, but only if the line is curved