Question 937092

these three points lie on same line: ({{{3}}},{{{7}}}), ({{{4}}},{{{9}}}), ({{{5}}},{{{11}}})

use them to see which equation they satisfy

A. 
{{{y = x + 2 }}} plug in ({{{3}}},{{{7}}})
{{{7 = 3 + 2 }}}
{{{7 <> 5}}} ...not solution

{{{y = x + 2}}}  plug in ({{{4}}},{{{9}}})
{{{9 = 4 + 2 }}}
{{{9 <>6 }}}...not solution

{{{y = x + 2}}}  plug in  ({{{5}}},{{{11}}})
{{{11 = 5 + 2 }}}
{{{11 <>7}}} ...not solution

B, 
{{{y = 2x + 1}}}   plug in ({{{3}}},{{{7}}})
{{{7= 2*3 + 1}}}
{{{7= 6+ 1}}}
{{{7= 7}}}........this {{{is}}} a solution

{{{y = 2x + 1}}}   plug in ({{{4}}},{{{9}}})
{{{9= 2*4 + 1}}}
{{{9= 8+ 1}}}
{{{9= 9}}}........this is a solution

{{{y = 2x + 1}}}   plug in ({{{5}}},{{{11}}})
{{{11= 2*5 + 1}}}
{{{11= 10+ 1}}}
{{{11= 11}}}........this {{{is}}} a solution

so, options C. {{{y = x - 1/2 }}} and D. {{{y =( 1/2)x- 1}}} we can disregard because B. {{{y = 2x + 1}}} is your answer