Question 936858
Rearrange the equation.
{{{5x+2y=4}}}
{{{2y=-5x+4}}}
{{{y=-(5/2)x+2}}}
So when {{{x=-4}}},
{{{y=-(5/2)(-4)+2=10+2=12}}}
When {{{x=4}}},
{{{y=-(5/2)(4)+2=-10+2=-8}}}
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Range : (-8,12)
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{{{drawing(300,300,-12,12,-10,14,grid(1),green(line(4,-20,4,20)),green(line(-4,-20,-4,20)),blue(line(-20,-8,20,-8)),blue(line(-20,12,20,12)),graph(300,300,-12,12,-10,14,-(5/2)x+2))}}}