Question 1203835

the equation of the line that passes through the point ({{{6}}},{{{-8}}}) and has a slope {{{4}}}

use point slope formula

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

substitute given data

{{{y-(-8)=4(x-6)}}}

{{{y+8=4x-24}}}

{{{y=4x-24-8}}}

{{{y=4x-32}}}


 {{{ drawing( 600, 600, -10, 10, -35, 10,
circle(6,-8,.12),locate(6,-8,p(6,-8)),

graph( 600, 600, -10, 10, -35, 10, 4x-32)) }}}