Find the slope of the line using similar triangles. (1 point) The slope is . (-3,1), (0, 0), and (3, -1)
To find the slope of the line using similar triangles, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (-3, 1) and (0, 0), we can use them to find the slope of the line passing through these two points:
m1 = (0 - 1) / (0 - (-3))
= -1 / 3
Now, let's find the slope of the line passing through the points (0, 0) and (3, -1):
m2 = (-1 - 0) / (3 - 0)
= -1 / 3
Since the two slopes are the same, we can conclude that the slope of the line passing through the points (-3, 1), (0, 0), and (3, -1) is -1/3.
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To find the slope of a line using similar triangles, we can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Given the three points (-3,1), (0,0), and (3,-1), we can calculate the change in y-coordinates and change in x-coordinates.
Change in y-coordinates (Δy) = y-coordinate of the second point - y-coordinate of the first point
= 0 - 1
= -1
Change in x-coordinates (Δx) = x-coordinate of the second point - x-coordinate of the first point
= 0 - (-3)
= 3
Now, we can substitute these values into the slope formula:
slope = Δy / Δx
= -1 / 3
Therefore, the slope of the line using similar triangles is -1/3.