Write the equation 1/2x+3/2y-1=0 in slope intercept form

y = - x +

rearrange the given equation into the form y = mx + c

multiply all terms by 2 to eliminate the fractions

x + 3y - 2 = 0

subtract (x - 2) from both sides

3y = - x + 2

divide all terms by 3

y = - x +

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!