Question 979149
Point-slope equation form gives the equation for this line.
{{{y-2=(3/4)(x-3)}}}
Change into slope-intercept form:  {{{y=(3/4)(x-3)+2}}}
{{{y=(3/4)x-9/4+2}}}
{{{y=(3/4)x-9/4+8/4}}}
{{{y=(3/4)x-1/4}}}--------which is a general point,  (x, (3/4)x-1/4), ordered pair.


Use the distance formula to help find the coordinates of the point on this line, five units distance from A(3,2).


{{{sqrt((3x/4-1/4-2)^2+(x-3)^2)=5}}}
If you can understand this use of the distance formula, this understanding IS GOOD.   Simplify it and solve for x.  You will find two values, which are the x coordinates for the point you want.  Use each of them to find the corresponding y coordinates.


I did not finish this myself, but you definitely should try to do it.