Understanding Linear Equations

The video tutorial explains how to identify the slope and intercepts of a linear equation in slope-intercept form. It demonstrates how to find the vertical and horizontal intercepts both algebraically and graphically. The tutorial also covers how to graph the line using the slope and intercepts, providing a step-by-step guide to ensure accuracy. The process includes plotting points and verifying the intercepts to confirm the graph's correctness.

What is the slope of the equation F(x) = -2x - 3?

• 2

• -2

• 3

• -3

In the equation F(x) = -2x - 3, what is the y-intercept?

• (0, -3)

• (-3, 0)

• (0, 3)

• (3, 0)

How do you express the vertical intercept as an ordered pair?

• (x, 0)

• (0, y)

• (y, 0)

• (0, x)

What is the horizontal intercept of the equation F(x) = -2x - 3?

• (-6, 0)

• (0, -6)

• (6, 0)

• (0, 6)

Which operation is used to find the horizontal intercept algebraically?

• Division

• Multiplication

• Subtraction

• Addition

What does the slope -1/2 indicate in terms of movement on the graph?

• Down 2, Right 1

• Up 2, Right 1

• Down 1, Right 2

• Up 1, Right 2

How can the slope -1/2 be rewritten to find points to the left of the vertical intercept?

• -2/1

• 2/-1

• -1/2

• 1/-2

What is the purpose of finding multiple points on the line?

• To verify the slope

• To verify the intercepts

• To verify the graph's accuracy

• To verify the equation

What is the minimum number of points needed to graph a line accurately?

• One

• Two

• Three

• Four

What is the final step in graphing the line after finding the intercepts and additional points?

• Drawing the line

• Finding more points

• Checking the equation

• Calculating the slope