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)

1 answer

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.