Question 1167851
what is the slope-intercept form of the equation of a line that passes through
(5,-4) and has a slope of '3/4'?
<pre>There are two ways, One way uses the point-slope form 
and the other uses only the slope-intercept form.

First way [uses point-slope form]:

{{{y-y[1]=m(x-x[1])}}}
{{{y-(-4)=expr(3/4)(x-5)}}}
{{{y+4=expr(3/4)x-expr(3/4)*5}}}
{{{y+4=expr(3/4)x-15/4}}}
{{{y=expr(3/4)x-15/4-4}}}
{{{y=expr(3/4)x-15/4-16/4}}}
{{{y=expr(3/4)x-31/4}}}

Second way [uses only slope-intercept form]: 

{{{y=mx+b}}}
{{{-4=expr(3/4)(5)+b}}}
{{{-4=15/4+b}}}
{{{-16=15+4b}}}
{{{-31=4b}}}
{{{-31/4=b}}}
{{{y=expr(3/4)x-31/4}}}

Edwin</pre>