Question 1182004


the equation of the line through ({{{2}}}, {{{-4}}}) and having slope of {{{3/5}}}

use point slope formula

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

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

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

{{{y=(3/5)x-6/5-4}}}

{{{y=(3/5)x-26/5}}}


{{{ drawing( 600, 600, -10, 10, -10, 10, 
circle(2,-4,.12), locate(2,-4,p(2,-4)),

graph( 600, 600, -10, 10, -10, 10, (3/5)x-26/5)) }}}