Question 1188239
Have I correctly found the equation of relation using the point-slope or point-intercept equations on 2 problems below?

Problem 1:

m = 3/5, (0, 3)
(y-3) = 3/5(x-0)
5(y-3) = 3(x-0)
5y -15 = 3x-0

-3x+5y = 15  Is this the correct equation answer
--- It's correct, but usually the x term is positive.
3x - 5y = -15
===========================

Problem 2:

m= 1/4,  (3, -1/4)
(y - (-1/4y) = 1/4(x-3)n  ----- y - (-1/4y) should be y - (-1/4) but the next line the y is gone.
=============
y + 1/4 = 1/4 12/4 ??? 
1/4x+y = 12/4 - 1/4  

1/4x +y = 11 Is this the correct equation answer
============================
m= 1/4,  (3, -1/4)
y - (-1/4) = (1/4)*(x-3)
{{{y + 1/4 = x/4 - 3/4}}}
{{{4y+1 = x - 3}}}
x - 4y = 4
===================
You can check you answer by subbing the given point.
x - 4y = 4
3 - 4*(-1/4) = 4
3 + 1 = 4
4 = 4