Question

Two lines with the slopes m1=4/3 and m2=-7/2 intersect at (3,4). Determine the equations of the two lines and check your answer by solving them

Answer 1

no clue how to answer it. I put each slope into the y=mx+b formula and found the b values, but i'm not sure if i'm supposed to do that

Answer 2

It helps if you show what you did.

The two lines, in point-slope form are

y-4 = 4/3 (x-3)
y-4 = -7/2 (x-3)

You don't always have to use y=mx+b. clearly, the two values for b are

0 and 29/2

With those, how could you not know what to do next? Knowing the slopes, you just write

y = 4/3 x
y = -7/2 x + 29/2