Life’s cruel joke point slope form

Question

I suck at this! I can not for the life of me figure out how to do this crap with fractions. Here is the question:

write the equation of the line which passes through(2,4) and (6,7). Write the answer in slope intercept.

i get down to this:

y-4=3/4x-2

how the f@&! do you get y=3/4x+5/2 as the answer🤬🤬

Answer 1

y -4 = (3/4)(x-2)

y = 3x/4 -3/2 +4

y = 3x/4 - 3/2+8/2

y = 3x/4+ (8-3)/2

y = 3x/4 +5/2