The slope of the line that passes through the point (6,0) and (21,-20) is -4/3
Slope of the line
The slope of the line is calculated as follows:
Find the difference between the y coordinates, Δy is change in y
Δy = y2 - y1
Find the difference between the x coordinates, Δx is change in x
Δx = x2 - x1
Divide Δy by Δx to find slope
m = Δy/Δx
Given,
Here we need to find the slope of the line that passes through the point (6,0) and (21, -20).
Let us consider
(x1,y1) = (6,0)
and
(x2,y2) = (21,-20)
Find the difference between the y coordinates, Δy is change in y
Δy = -20 - 0
Δy = -20
Find the difference between the x coordinates, Δx is change in x
Δx = 21 - 6
Δx = 15
Therefore, the slope of the line is,
m = Δy/Δx
m = -20/15
When we simplify it, then we get,
m = -4/3
Therefore, the slope of the line is -4/3.
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