To find the slope of the line using similar triangles, we can consider the two triangles formed by the points (-6,1), (0,0) and (0,0), (6,-1). These triangles are similar as they share an angle and have proportional sides.
The slope of the line passing through these points can be found by calculating the rise over run between the corresponding points.
For the first triangle (-6, 1), (0,0), the rise is 1 and the run is 6.
For the second triangle (0,0), (6,-1), the rise is -1 and the run is 6.
Since the triangles are similar, the slopes are proportional.
Therefore, the slope of the line passing through the points (-6,1), (0,0), and (6,-1) is:
(1/6) / (-1/6) = -1
So, the slope of the line is -1.
Find the slope of the line using similar triangles.(1 point)
the graph shows (-6,1) and (0,0) and (6,-1)
1 answer