Question 1025037
(Capitalization matters.  Number symbolism is not the same as conventional written English.)


(Parentheses are often very useful to make expressions clear if written in pure text through computer & keyboard; or if using typewriter.)



Let me change what you listed.
y=3x-6
y+5=-(3/4)x
y=(7/9)x-31/3


{{{system(y=3x-6,y+5=-(3/4)x,y=(7/9)x-31/3)}}}


The first and the third are in slope intercept form, generally modeled as y=mx+b.  The second is not in slope-intercept form, but appears to be in point-slope form.


An equation for a line written in slope-intercept form like y=mx+b will have slope m and y-intercept b.  One needs to pay attention to signs used.  If you have y=mx-b, then the y-intercept will be  {{{-b}}}.


What about the second equation again?  Realize that as written, it indicates one of the points of the line.  Ignoring that, one can put the equation into slope-intercept form:
{{{y+5=-(3/4)x}}}
{{{y+5-5=-(3/4)x-5}}}
{{{y+0=-(3/4)x-5}}}
{{{y=-(3/4)x-5}}}----------the slope is {{{-3/4}}} and y-intercept is {{{-5}}}.