Understanding Slope and Intercepts

The video tutorial reviews the concepts of slope and y-intercept in linear equations, focusing on the slope-intercept form y = mx + b. It provides examples of graphing equations, converting equations to slope-intercept form, and isolating y. The teacher emphasizes the importance of understanding slope as rise over run and the y-intercept as the point where the line crosses the y-axis. Students are guided through graphing exercises and are reminded to use a straight edge for accuracy.

What is the slope-intercept form of a linear equation?

• b = mx + y

• x = my + b

• y = b + mx

• y = mx + b

In the equation y = 3x - 7, what is the slope?

• 3

• 7

• -3

• -7

In the equation y = 3x - 7, what is the y-intercept?

• 7

• 3

• -7

• -3

How do you convert y + 2.25x = 3 to slope-intercept form?

• Divide both sides by 2.25

• Multiply both sides by 2.25

• Add 2.25x to both sides

• Subtract 2.25x from both sides

What is the slope of the equation y = -9/4x + 3?

• 9/4

• -9/4

• 3

• -3

What is the y-intercept of the equation y = -9/4x + 3?

• -3

• -9/4

• 3

• 9/4

In the equation y - 5 = 3/4x, what is the first step to isolate y?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 4/3

• Divide both sides by 3/4

What is the slope of the equation y = 3/4x + 5?

• 5

• -5

• -3/4

• 3/4

What is the y-intercept of the equation y = 3/4x + 5?

• 5

• -3/4

• 3/4

• -5

Which of the following is NOT a step in graphing a linear equation in slope-intercept form?

• Identify the y-intercept

• Plot the y-intercept on the graph

• Identify the slope

• Multiply the slope by the y-intercept