Finding Slope from Equations, Tables, and Points

This video tutorial explains how to find the slope of a line from equations, tables, and two points. It begins with an introduction to the concept of slope, represented by the letter 'm', and how it describes the steepness of a line. The tutorial then covers finding slope from equations in the form y=mx+b, where the slope is the coefficient of x. It proceeds to explain how to determine slope from tables by calculating the change in y over the change in x. Finally, it demonstrates two methods for finding slope from two points: converting the points into a table or using the slope formula.

What does the letter 'm' represent in the equation y = mx + b?

• The x-intercept

• The slope

• The constant term

• The y-intercept

In the equation y = 4x + 2, what is the slope?

• 4

• 1/2

• -4

• 2

What is the first step in finding the slope from a table?

• Divide the y-values by the x-values

• Draw arrows to show the change

• Add the x-values and y-values

• Multiply the x-values by the y-values

If the change in y is 5 and the change in x is 10, what is the slope?

• 10

• 5

• 1/2

• 2

What does a slope of zero indicate about a line?

• The line is undefined

• The line has a positive slope

• The line is horizontal

• The line is vertical

What does it mean if the slope is undefined?

• The line is vertical

• The line is horizontal

• The line has a negative slope

• The line has a positive slope

What is the slope between the points (0, 6) and (5, -4) using the table method?

• -2

• -1

• 2

• 1

Using the table method, what is the slope between the points (6, -2) and (5, 10)?

• 12

• -12

• 1

• -1

What is the slope formula for finding the slope between two points?

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

• (x1 - x2) / (y1 - y2)

• (y1 - y2) / (x1 - x2)

Why might some people prefer the formula method over the table method for finding slope?

• It is more accurate

• It requires fewer calculations

• They are more comfortable with formulas

• It is easier to remember