Respuesta :

F(x)= 1/3x + 5/3

Explanation: I used the slope formula and plug the 2 points into the formula to determine the slope!

The points are (-5,0) and (4,3)

Slope formula is (y2-y1)/(x2-x1)

(3-0)/(4- -5) = 3/9= 1/3

The question asked to write a function so we need the y intersection to complete the formula! So we do this by plug the point into the formula and solve it that way

3=1/3(4) +b

3=4/3 + b
-4/3 on both sides


5/3= b

Now that we have the intercept we can complete the formula so we add it together now to complete it

Y= 1/3x + 5/3

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