If f(x) is a linear function, f(-2)=4. and f(3)=-3, find an equation for f(x).

f(x)=  -7/5 x + 6/5

Step-by-step explanation:

We know that, y = mx+ c; where c is the y-intercept.

Given, f(-2) = 4 and f(3) = -3

So, the slope will be, (-3-4)/ (3-(-2)) = -7/5

Now, find the value of c:

c = y - mx

  = 4 - (-7/5) X -2

  = 6/5

So the linear equation will be,

y= -7/5 x + 6/5

f(x)=  -7/5 x + 6/5

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