Finding the Slope of a Linear Function

The video tutorial explains the concept of slope, its importance in construction, and how to calculate it using the rise over run method. It covers different types of slopes, such as positive, negative, zero, and undefined. The tutorial demonstrates finding the slope on a coordinate grid and calculating the slope of a roof, emphasizing the importance of slope in weather conditions. Common mistakes in slope calculation are also addressed.

Why is knowing the slope of a roof important when building a house?

• To make the roof more durable

• To reduce the cost of construction

• To ensure the roof is aesthetically pleasing

• To allow snow and rain to fall off easily

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

• Run over rise

• Change in x over change in y

• Rise over run

• Sum of x and y

Which type of slope is represented by a line going upwards?

• Positive slope

• Undefined slope

• Zero slope

• Negative slope

What does a zero slope indicate?

• A vertical line

• A line going upwards

• A line going downwards

• A flat horizontal line

In which direction do you move on the coordinate grid to increase the x value?

• Left

• Up

• Right

• Down

How do you find the slope between two points on a coordinate grid?

• By subtracting the x values from the y values

• By multiplying the x and y values

• By counting the horizontal and vertical change

• By adding the x and y values

What is the slope of a line if the change in y is 4 and the change in x is -6?

• 3/2

• -3/2

• 2/3

• -2/3

What is the slope of a roof if the vertical change is 8 feet and the horizontal change is 14 feet?

• 4/7

• 7/4

• 8/14

• 14/8

Why is it incorrect to put the change in x over the change in y when calculating slope?

• It makes the slope zero

• It results in a negative slope

• It results in an undefined slope

• It reverses the slope calculation

What common mistake do people make when calculating slope?

• Putting the change in x over the change in y

• Using approximate coordinates

• Using the wrong formula

• Forgetting to reduce the fraction