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Lady_Fox [76]
3 years ago
11

Write a linear function f with f(−9)=10 and f(−1)=−2

Mathematics
1 answer:
pashok25 [27]3 years ago
6 0

First we need to find the slope of the function

The slope of a function is equal to

\frac{f(x_2)-f(x_1)}{x_2-x_1}

So now we plug this into the equation and find the slope (M will represent the slope)

m=\frac{10--2}{-9--1}\\m=\frac{12}{-8}\\m=-\frac{3}{2}

So the slope is -3/2


Now we can use point-slope form.

Point slope form is represented by

Y-Y_1=m(X-X_1)

So when we plug in our values we get

Y--2=-3/2(X--1)\\Y+2 = -3/2(X+1)\\Y+2 = -3/2X-3/2\\Y=-3/2X-7/2

So the equation is

Y = -3/2X-7/2

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