Question 1131898

you need point-slope formula:

{{{y-y[1]=m(x-x[1])}}}

if the line has slope of{{{-3/4}}} and passes through ({{{5}}}, {{{-2}}}), we have

{{{y-(-2)=-(3/4)(x-5)}}}

{{{y+2=-(3/4)x-(3/4)(-5)}}}

{{{y+2=-(3/4)x+15/4}}}

{{{y=-(3/4)x+15/4-2}}}

{{{y=-(3/4)x+15/4-8/4}}}

{{{y=-(3/4)x+7/4}}}



{{{drawing( 600, 600, -10, 10, -10, 10, 
circle(5,-2,.12),locate(5,-2,p(5,-2)),
 graph( 600, 600, -10, 10, -10, 10, -(3/4)x+7/4)) }}}