Question 1182885


given:
 
point ({{{x[1]}}},{{{y[1]}}}) =({{{-4}}},{{{-5}}}) 

{{{m=3/5}}}

use point slope formula

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

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

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

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

{{{y+5=(3/5)x+12/5}}}

{{{y=(3/5)x+12/5-5}}}

{{{y=(3/5)x-13/5}}}=> your equation


{{{ drawing( 600,600, -10, 10, -10, 10,
circle(-4,-5,.12), locate(-4,-5,p(-4,-5)),
graph( 600,600, -10, 10, -10, 10, (3/5)x-13/5)) }}}