Question 700481

first graph {{{y>-2x +4}}} as {{{y=-2x +4}}}

find two points and draw a dashed line through because you have an inequality ">" and the points on a line are excluded from a solution

two points:

{{{y=-2x +4}}}..set {{{x=0}}}, solve for {{{y}}}

{{{y=-2*0 +4}}}

{{{y=4}}}.....{{{y-intercept}}} is at ({{{0}}},{{{4}}})


{{{y=-2x +4}}}..set {{{y=0}}}, solve for {{{x}}}

{{{0=-2x+4}}}

{{{2x=4}}}

{{{x=2}}}.....{{{x-intercept}}} is at ({{{2}}},{{{0}}})

now plot points, draw dashed line, and shade all above the line 


*[invoke plot_any_inequality "y>-2x +4", -10, 10, -10, 10, 600, 600]