Question 652705


{{{ y=10+2(x-4)}}}....first multiply {{{2(x-4)}}}

{{{ y=10+2x-8}}}

{{{ y=2x+10-8}}}

{{{ y=2x+2}}}....you have a linear function and the graph will be a line

since a line is defined with two points, you need to find two points

easiest way is to find {{{x-intercept}}} and {{{y-intercept}}}


to find {{{x-intercept}}} set {{{y=0}}} and sole for {{{x}}}:

{{{0=2x+2}}}

{{{-2=2x}}}

{{{-2/2=x}}}

{{{highlight(x=-1)}}}

so, {{{x-intercept}}} is at ({{{-1}}},{{{0}}})


to find {{{y-intercept}}} set {{{x=0}}} and sole for {{{y}}}:

{{{y=2x+2}}}

{{{y=2*0+2}}}

{{{highlight(y=2)}}}

so, {{{y-intercept}}} is at ({{{0}}},{{{2}}})

now plot your points on Cartesian coordinate system and draw a line through:


{{{ graph( 600, 600, -6, 5, -10, 10, 2x+2) }}}