What is the slope of the linear function if f(2)=-6 and f(-2)=4 ?

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Let the linear function be f(c) = ax + b.

y = ax + b is in the slope intercept form with the slope being a.

We have f(2) = -6 and f(-2) = 4

2a + b = -6 ...(1)

-2a + b = 4 ...(a)

(1) - (2)

...

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Let the linear function be f(c) = ax + b.

y = ax + b is in the slope intercept form with the slope being a.

We have f(2) = -6 and f(-2) = 4

2a + b = -6 ...(1)

-2a + b = 4 ...(a)

(1) - (2)

=> 4a = -10

=> a = -10/4

=> a = -5/2

The slope of the linear function is -5/2.

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