Matching Linear Equations with Graphs

The video tutorial explains how to match given linear equations with lines on a graph. It begins by identifying horizontal and vertical lines, then matches equations with these lines. The tutorial demonstrates using coordinates to test and verify which equations correspond to specific lines, ultimately matching all lines with their respective equations.

What is the first step in matching linear equations with lines on a graph?

• Determine the length of each line.

• Calculate the intersection points.

• Check if any lines are horizontal or vertical.

• Identify the slope of each line.

Why can the equation for a horizontal line only have a y variable?

• Because the y value is constant across all points.

• Because the x variable is always zero.

• Because the x value changes with the y value.

• Because horizontal lines have no slope.

What is a good strategy to differentiate between two lines with both x and y variables?

• Choose a point that is shared by both lines.

• Find the midpoint of each line.

• Select a point that is unique to one line.

• Calculate the slope of each line.

What should you do after selecting a unique point on a line?

• Find another point on the same line.

• Draw a perpendicular line through the point.

• Calculate the distance from the origin.

• Substitute the point's coordinates into the equations.

What does it mean if substituting a point into an equation results in both sides being equal?

• The point is not on the line.

• The equation does not match the line.

• The point is on the line described by the equation.

• The equation is incorrect.

If a point does not satisfy an equation, what can be concluded?

• The point is not on the line described by the equation.

• The point is on the line.

• The equation is correct.

• The equation matches the line.

What is the final step in confirming the match between an equation and a line?

• Ensure the line passes through the origin.

• Calculate the slope of the line.

• Use a second point to confirm the match.

• Check if the line is vertical.

Why might you need to use a second point to confirm a match between an equation and a line?

• To check if the line is horizontal.

• To ensure the equation is correct.

• To verify the line's length.

• To confirm the line's slope.

What is the significance of a point where only one line crosses?

• It helps identify the line's length.

• It confirms the line's slope.

• It shows the line's midpoint.

• It uniquely identifies the line for matching with an equation.

What is the default conclusion if only one equation remains unmatched?

• It needs further verification.

• It matches all lines.

• It must match the last remaining line.

• It is incorrect.