Transpose (manipulate) the equation as follows:
Add color(blue)(5y)5y to both sides
color(brown)(2x-5ycolor(blue)(+5y)=10color(blue)(+5y))" "->" "2x+0=10+5y2x−5y+5y=10+5y → 2x+0=10+5y
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Subtract color(blue)(10)10 from both sides
color(brown)(2xcolor(blue)(-10)=10color(blue)(-10)+5y)" "->" "2x-10=0+5y2x−10=10−10+5y → 2x−10=0+5y
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Divide both sides by color(blue)(5)5
color(brown)( (2x)/(color(blue)(5)) -10/(color(blue)(5)) = 5/(color(blue)(5)) xx x2x5−105=55×x
But 5/5=155=1
color(blue)(y=2/5 x-2)" " y=25x−2 This is standard form of the equation
color(red)("=================================")=================================
The line crosses the y-axis ( y_("intercept"yintercept ) when x=0x=0
so y_("intercept")= 2/5 (0)-2 = -2yintercept=25(0)−2=−2
So one point is:" "(x,y)->(0,-2) (x,y)→(0,−2)
color(red)("Mark that point on the graph")Mark that point on the graph
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The line crosses the x-axis ( x_("intercept")xintercept ) at y=0y=0
0=2/5 x-20=25x−2
=> 2 xx5/2=x = 5⇒2×52=x=5
So the other point is:" "(x,y)->(5,0) (x,y)→(5,0)
color(red)("Mark that point on the graph")Mark that point on the graph
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color(blue)("Draw a line through both these points and that is your graph.")Draw a line through both these points and that is your graph.
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