Question 1182385


the equation of the line that contains the given points:

P1({{{7}}}, {{{2}}}), P2({{{4}}}, {{{4}}})

use points to find a slope

{{{m=(4-2)/(4-7)}}}

{{{m=2/(-3)}}}

{{{m=-2/3}}}


use point slope formula


{{{y-y[1]=m(x-x[1])}}}.......substitute {{{m=-2/3}}} and ({{{4}}}, {{{4}}})

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

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

{{{y=-(2/3)x+8/3+4}}}

{{{y=-(2/3)x+20/3}}}


{{{ drawing( 600, 600, -10, 10, -10, 10, 
circle(4,4,.12),locate(4,4,p(4,4)),
circle(7,2,.12),locate(7,2,p(7,2)),
graph( 600, 600, -10, 10, -10, 10, -(2/3)x+20/3)) }}}