color(blue)("Main Method :")Main Method :
Determine 2 separate points which are marked on the graph paper then draw a line through them.
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color(purple)("Method 1") Method 1
Substitute any sensible values into xx and se what value of yy you get. Then plot the points with a line going through them.
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color(purple)("Method 2 - more about teaching algebra")Method 2 - more about teaching algebra
color(blue)("Determine the point where "x=0)Determine the point where x=0
Substitute 0 wherever xx is
y=-3x+3" "->" "y=-3(0)+3y=−3x+3 → y=−3(0)+3
but 0xx(-3)=00×(−3)=0 giving:
y=0+3y=0+3
So at x=0" "yx=0 y takes on the value of 3
So point 1 ->P_1->(x,y)=(0,3)→P1→(x,y)=(0,3)
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color(blue)("Determine the point where "y=0)Determine the point where y=0
Substitute 0 wherever yy is:
y=-3x+3" "->" "0=-3x+3y=−3x+3 → 0=−3x+3
Add 3x3x to both sides
0+3x=-3x+3x+30+3x=−3x+3x+3
but -3x+3x=0−3x+3x=0
3x=0+33x=0+3
Divide both sides by 3
3/3x=3/333x=33
But 3/3=133=1
x=1x=1
So point 2 ->P_2->(x,y)=(1,0)→P2→(x,y)=(1,0)
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