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27 votes
27 votes
Determine the gradient of the line through (-1;2)and (0;-4)

User Kubeczek
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1 Answer

18 votes
18 votes

Explanation:

gradient = slope. or similar names.

it expresses the "steepness" of the line. how strongly is it going up or down or ... at all ?

it is represented by the ratio

(y coordinate difference / x coordinate difference)

when going from one point on the line to another.

for these 2 points we see (when going from the first to the second)

x changes by +1 (from -1 to 0).

y changes by -6 (from 2 to -4).

so the slope or gradient is

-6/+1 = -6

User Tobias Koller
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3.2k points