Determining Slope and y-Intercept from Equations and Graphs

This tutorial covers how to determine the slope and y-intercept from equations, tables, and graphs. It begins with basic equations, explaining the generic form y = mx + b, where m is the slope and b is the y-intercept. The tutorial then moves to tables, showing how to calculate the slope as the change in y over the change in x, and how to find the y-intercept by adjusting values to when x equals zero. Finally, it addresses graph analysis, using slope triangles to determine rise over run and identify the y-intercept. The video emphasizes careful calculation and understanding of these concepts.

What is the slope in the equation y = -5x - 3?

• 5

• 3

• -5

• -3

In the equation y = 3x - 5, what is the y-intercept?

• 3

• -3

• 5

• -5

How do you determine the slope from a table?

• By finding the change in X over the change in Y

• By finding the change in Y over the change in X

• By adding all the values in the table

• By subtracting the smallest value from the largest value

If the change in Y is 36 and the change in X is 4, what is the slope?

• 36

• 4

• 40

• 9

What is the y-intercept if the Y value is -9 when X equals 0?

• 0

• -9

• 9

• 36

If the change in Y is -90 and the change in X is -10, what is the slope?

• 9

• 10

• -10

• -9

What is the y-intercept if the Y value is 7 when X equals 0?

• 90

• 0

• 7

• -7

How do you find the slope from a graph?

• By counting the number of points on the graph

• By finding the rise over run

• By adding the X and Y values

• By subtracting the Y values from the X values

If the rise is 8 and the run is 2, what is the slope?

• 2

• 4

• 6

• 8

What is the slope if the rise is -7 and the run is -2?

• 7/2

• 2/7

• -2/7

• -7/2