Matching Equations to Graphs

The video tutorial explains how to match given linear equations with lines on a graph. It starts by identifying horizontal and vertical lines, focusing on line A, which is horizontal, and matches it with an equation containing only a y variable. The tutorial then demonstrates a strategy to match the remaining lines by selecting unique points and substituting them into the equations to verify matches. The process concludes with default assignments for unmatched lines and equations.

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

• Identify the slope of each line.

• Check if any lines are horizontal or vertical.

• Calculate the intersection points.

• Determine the length of each line.

Which type of equation matches a horizontal line on a graph?

• An equation with both x and y variables.

• An equation with only an x variable.

• An equation with no variables.

• An equation with only a y variable.

How do you confirm that a horizontal line matches with a given equation?

• By measuring the length of the line.

• By comparing the slopes of the lines.

• By isolating the y variable and checking its value.

• By checking if the x values are equal.

What is a good strategy for matching the remaining lines and equations?

• Choose a point that is shared by all lines.

• Identify a unique point on one of the lines.

• Compare the colors of the lines.

• Calculate the area under each line.

Why is it important to choose a point not shared by other lines?

• To ensure the point is on the x-axis.

• To avoid confusion with other lines.

• To ensure the point is on the y-axis.

• To make calculations easier.

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

• Substitute the point's coordinates into the equations.

• Calculate the distance from the origin.

• Erase the other lines from the graph.

• Draw a new line through the point.

How do you verify if an equation matches a line using a point?

• By checking if the point lies on the x-axis.

• By substituting the point's coordinates and checking equality.

• By drawing a perpendicular line through the point.

• By measuring the angle of the line.

What indicates that an equation does not match a line?

• The line is longer than expected.

• The calculated values are not equal.

• The equation has more than one variable.

• The line is not horizontal.

What is the result if the substituted coordinates satisfy the equation?

• The point is not on the line.

• The equation is incorrect.

• The equation matches the line.

• The line is vertical.

Why might you need to check a second point to confirm an equation matches a line?

• To ensure the line is not vertical.

• To confirm the equation's accuracy.

• To verify the line's color.

• To measure the line's length.