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7 votes
The graph of a linear function passes

through points (2, -5) and (3, 6). What is
the rate of change of the function

User Kleinohad
by
8.8k points

1 Answer

7 votes

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.


(\stackrel{x_1}{2}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{2}}}\implies \cfrac{6+5}{1}\implies 11

User Steven Kramer
by
7.8k points

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