Given:" " color(brown)(x-y=2) x−y=2
color(green)("Step 1: Rearrange the equation into standard form")Step 1: Rearrange the equation into standard form
Add color(blue)(y)y to both sides
color(brown)(x-ycolor(blue)(+y)=2color(blue)(+y))x−y+y=2+y
=> x+0=2+y⇒x+0=2+y
Subtract color(blue)(2)2 from both sides
=>color(brown)(x color(blue)(-2)=2color(blue)(-2)+y)⇒x−2=2−2+y
=>x-2=0+y⇒x−2=0+y
color(green)(y=x-2)y=x−2
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color(green)("Step 2: Build data so that graph can be plotted")Step 2: Build data so that graph can be plotted
Selecting values for xx at random
Let x=-1" then "y=-1-2 = -3x=−1 then y=−1−2=−3
Let x=0" then "y=0-2=-2x=0 then y=0−2=−2
Let x=2" then "y=2-2=0x=2 then y=2−2=0
We now have three sets of point
Point P_1->(x,y)->(-1,-3)P1→(x,y)→(−1,−3)
Point P_2->(x,y)->(0,-2)P2→(x,y)→(0,−2)
Point P_2->(x,y)->(2,0)P2→(x,y)→(2,0)
Mark these point on graph paper and draw a line through them extending it to the edges of the scales. If all three dots must line up. If not then there is an error some where. 3 dots are better than just 2 as they form a check.
Your graph should look something like this:
![Tony B]()
