Use the image to answer the question.
A downward-sloping diagonal line with arrows on both ends passes through quadrants 2 and 4. Three points are plotted and labeled on the line: left parenthesis negative 3 comma 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 3 comma negative 1 right parenthesis. Both the x-axis and y-axis range from negative 10 to 10 in increments of 1.
Find the slope of the line using similar triangles.
(1 point)
To find the slope of the line using similar triangles, we can choose any two points on the line and calculate the rise over run ratio.
Let's choose points (-3,1) and (0,0) from the given points.
The rise is the difference in y-coordinates: 1 - 0 = 1.
The run is the difference in x-coordinates: -3 - 0 = -3.
So, the slope of the line is rise / run = 1 / -3 = -1/3.