Write out the equation in Mx+b

Answer

y= 3/2 x  - 2

Step-by-step explanation:

so you have to find the slope which would be

m =  

y2 - y1

x2 - x1

then you find you points that you are using (2, 1) and (0, -2)

when you plug it in it is

m=

-2-1

0-2

you simplify the numbers and get rid of the negatives to get m=3/2 x

then your y intercept is where your line meets the y axis or wherever x=0

so your y intercept is (0, -2) so the b = -2

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!