Question 1137155

{{{y=mx+b}}} where {{{m}}} is a slope and {{{b}}} is y-intercept

 ({{{5}}}, {{{17}}}) 
({{{9}}}, {{{21 }}})

first use given points to ind a slope:


{{{m=(y[2]-y[1])/(x[2]-x[1])}}} 

{{{m=(21-17)/(9-5)}}}

 {{{m=4/4}}} 

{{{m=1}}} 

so far we have: {{{y=x+b}}}

use one point to find {{{b}}}

{{{17=5+b}}}

{{{b=17-5}}}

{{{b=12}}}


your equation is: {{{y=x+12}}}


{{{drawing(600, 600, -25, 25, -25, 25, 

circle(5,17,.13),locate(5,17,p(5,17)),
circle(9,21,.13),locate(9,21,p(9,21)),
 graph(600, 600, -25, 25, -25, 25, x+12)) }}}