Question 1207021

given:

point ({{{x[1]}}},{{{y[1]}}})=({{{-4}}},{{{4}}})
slope {{{m=1/2}}}

use point slope formula

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

{{{y-4=(1/2)(x-(-4))}}}

{{{y-4=(1/2)(x+4)}}}

{{{y-4=(1/2)x+2}}}

{{{y=(1/2)x+2+4}}}

{{{y=(1/2)x+6}}}


{{{ drawing( 600, 600, -10, 10, -10, 10, 
circle(-4,4,.12), locate (-4,4,p(-4,4)),
graph( 600, 600, -10, 10, -10, 10, (1/2)x+6)) }}}