Question 1205695


use given points  ({{{-2}}},{{{-4}}}) and ({{{2}}},{{{4}}}) to find a slope

{{{m=(4-(-4))/(2-(-2))=8/4=2}}}

{{{y=2x+b}}}....use one point to calculate {{{b}}}

{{{4=2*2+b}}}
{{{4=4+b}}}
{{{b=4-4}}}
{{{b=0}}}

your equation is

{{{y=2x}}}


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

Given a line passes through point ({{{-9}}},{{{2}}}) and the origin, find the equation of the line.

a line passes through points 
({{{-9}}},{{{2}}}) 
({{{0}}},{{{0}}})=> y-intercept {{{b=0}}}

{{{m=(0-2)/(0-(-9))=-2/9}}}

{{{y=-(2/9)x+0}}}

your equation is

{{{y=-(2/9)x}}}



{{{ drawing( 600, 600, -10, 10, -10, 10, 
circle(-9,2,.12), locate(-9,2,p(-9,2)),

graph( 600, 600, -10, 10, -10, 10, -(2/9)x)) }}}