Question 988260

given: 
a graph with the ordered pair ({{{3}}},{{{3}}})=({{{x}}},{{{y}}}), and 
the y-intercept {{{-5}}}=> means you are given {{{b=-5}}} or a point ({{{0}}},{{{-5}}})

now, we use slope-intercept form to figure out my equation and slope {{{m}}}:

{{{y=mx+b}}}...substitute {{{-5}}} for {{{b}}}, {{{3}}} for {{{x}}}, and {{{3}}} for {{{y}}}

{{{3=m*3-5}}}.....solve for {{{m}}}

{{{3+5=3m}}}

{{{8=3m}}}

{{{highlight(m=8/3)}}}

so, your equation is: {{{y=(8/3)x-5}}}


and here is a graph:


{{{drawing( 600, 600, -10, 10, -10, 10,
circle(3,3,.12),locate(3,3,p(3,3)),
circle(0,-5,.12),locate(0,-5,p(0,-5)),
 graph( 600, 600, -10, 10, -10, 10, (8/3)x-5)) }}}