Compare the slope of the following equation and graph by determining which line is steeper.
A. The line represented by the equation has the same steepness as the line shown in the graph.
B. The line represented by the equation is steeper than the line shown in the graph.
C. The line shown in the graph is steeper than the line represented by the equation.
D. There is not enough information to determine the steepness of the lines.
Answer:
The equation is in the form y = mx, where m represents the slope.
So, the slope of the line represented by the equation is .
Use two points from the graph to determine the slope of the line shown on the graph.
The calculation shown below uses the points (0, 0) and (1, -2).
So, the slope of the graph is -2.
To determine which line is steeper, compare the absolute values of the slopes. The line whose absolute value of the slope is greater is the steeper line.
Therefore, the line shown in the graph is steeper than the line represented by the equation.