Understanding Slope and Linear Equations

This video tutorial covers the basics of graphing, including key vocabulary such as coordinate planes, points, and intercepts. It explains how to determine solutions to linear equations by graphing and testing points. The tutorial also explores different types of slopes, including zero, undefined, positive, and negative slopes, and how to calculate them using rise over run.

What is another term for a coordinate plane?

• Point

• Axis

• Graph

• Line

Which of the following is true about the origin on a graph?

• It is where the line crosses the y-axis.

• It is where the x-axis and y-axis intersect.

• It is always at the point (1,1).

• It is the highest point on a graph.

What does it mean if a point is a solution to a linear equation?

• The point lies on the line represented by the equation.

• The point is outside the graph.

• The point is the origin.

• The point is an intercept.

How can you verify if a point is a solution to an equation without graphing?

• By substituting the point into the equation.

• By checking if it is an intercept.

• By finding the slope of the line.

• By drawing a new line through the point.

What is the definition of slope in terms of rise and run?

• Slope is the rise divided by the run.

• Slope is the run divided by the rise.

• Slope is the difference between rise and run.

• Slope is the sum of rise and run.

What type of slope does a vertical line have?

• Undefined

• Zero

• Positive

• Negative

What type of slope does a horizontal line have?

• Zero

• Undefined

• Positive

• Negative

Which direction does a line with a positive slope go?

• Up to the left

• Down to the right

• Down to the left

• Up to the right

If a line goes up four units and over five units, what is its slope?

• 4/5

• 5/4

• 5/1

• 1/5

What is the slope of a line that goes up four units and to the left five units?

• -5/4

• 4/5

• 5/4

• -4/5