Question 720652

{{{y= 2x-6}}}

plug in given points, and if left side equal to the right side, points are solution

(x, y)=(–2, –10), (1, –4), (2, –1)

{{{y= 2x-6}}}.....plug in {{{x=-2}}} and {{{y=-10}}}

{{{-10= 2(-2)-6}}}

{{{-10=-4-6}}}

{{{-10=-10}}}.....this point lie on given line


{{{y= 2x-6}}}.....plug in {{{x=1}}} and {{{y=-4}}}

{{{-4= 2(1)-6}}}

{{{-4=2-6}}}

{{{-4=-4}}}.....this point also lie on given line


{{{y= 2x-6}}}.....plug in {{{x=2}}} and {{{y=-1}}}

{{{-1= 2(2)-6}}}

{{{-1=4-6}}}

{{{-1=-2}}}.....this point does {{{highlight(not)}}} {{{highlight(lie)}}} on given line

so, {{{A}}} is {{{highlight(not)}}} solution


let's check {{{B}}}


(x, y)=(–2, –10), (1, –4), (0, –6)

{{{y= 2x-6}}}.....plug in {{{x=-2}}} and {{{y=-10}}}

{{{-10= 2(-2)-6}}}

{{{-10=-4-6}}}

{{{-10=-10}}}.....this point {{{highlight(lie)}}} on given line


{{{y= 2x-6}}}.....plug in {{{x=1}}} and {{{y=-4}}}

{{{-4= 2(1)-6}}}

{{{-4=2-6}}}

{{{-4=-4}}}.....this point also {{{highlight(lie)}}} on given line


{{{y= 2x-6}}}.....plug in {{{x=0}}} and {{{y=-6}}}

{{{-6= 2(0)-6}}}

{{{-6=0-6}}}

{{{-6=-6}}}.....this point {{{highlight(lie)}}} on given line

so, {{{B}}} {{{highlight(is)}}} solution



let's check {{{C}}}


(x, y)=(0, –6), (3, –2), (–2, –10)

{{{y= 2x-6}}}.....plug in {{{x=-2}}} and {{{y=-10}}}

{{{-10= 2(-2)-6}}}

{{{-10=-4-6}}}

{{{-10=-10}}}.....this point lie on given line


{{{y= 2x-6}}}.....plug in {{{x=3}}} and {{{y=-2}}}

{{{-2= 2(3)-6}}}

{{{-2=6-6}}}

{{{-2=0}}}.....this point does {{{highlight(not)}}} {{{highlight(lie)}}} on given line


{{{y= 2x-6}}}.....plug in {{{x=0}}} and {{{y=-6}}}

{{{-6= 2(0)-6}}}

{{{-6=0-6}}}

{{{-6=-6}}}.....this point  lie on given line

so, {{{C}}} is {{{highlight(not)}}} solution



let's check {{{D}}}


(x, y)=(1, –4), (0, –6), (–1, –9)

{{{y= 2x-6}}}.....plug in {{{x=1}}} and {{{y=-4}}}

{{{-4= 2(1)-6}}}

{{{-4=2-6}}}

{{{-4=-4}}}.....this point lie on given line


{{{y= 2x-6}}}.....plug in {{{x=-1}}} and {{{y=-9}}}

{{{-9= 2(-1)-6}}}

{{{-9=-2-6}}}

{{{-9=-8}}}.....this point does {{{highlight(not)}}} lie on given line


{{{y= 2x-6}}}.....plug in {{{x=0}}} and {{{y=-6}}}

{{{-6= 2(0)-6}}}

{{{-6=0-6}}}

{{{-6=-6}}}.....this point  lie on given line

so, {{{D}}} is {{{highlight(not)}}} solution


so, your solution is {{{B}}}