Understanding Slope and Intercepts

The video tutorial covers how to write systems of inequalities for graphs. It begins with an introduction and then explains how to graph inequalities for different lines by finding the y-intercept and calculating the slope. The tutorial also covers shading regions and understanding vertical line inequalities. The session concludes with assignment instructions and a reminder of an upcoming video quiz.

What is the first step in writing a system of inequalities for a graph?

• Calculate the slope

• Determine the shading

• Draw the graph

• Find the y-intercept

If a line has a y-intercept of 2, what is the next step in writing its equation?

• Calculate the slope

• Determine the shading

• Find the x-intercept

• Draw the line

How do you calculate the slope of a line?

• Run over rise

• Rise over run

• Add the intercepts

• Subtract the intercepts

What does a solid line in a graph indicate about the inequality?

• It is a horizontal line

• It is a vertical line

• It is a strict inequality

• It includes an equal sign

What is the slope of a line if it goes down 1 and right 1?

• 0

• 2

• 1

• -1

What does shading below a line indicate about the inequality?

• Equal to

• Not equal to

• Greater than

• Less than

What is the y-intercept of a line if it crosses the y-axis at 2?

• 0

• 1

• 2

• 3

What is the y-intercept of the second line discussed in the video?

• 1

• 0

• -3

• 2

For a line with a slope of 2, what is the rise and run?

• Rise 2, Run 2

• Rise 2, Run 1

• Rise 1, Run 2

• Rise 1, Run 1

What does a dashed line in a graph indicate about the inequality?

• It is a strict inequality

• It is a vertical line

• It includes an equal sign

• It is a horizontal line