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Write the equation of the line with
$m=1; x_{1}=2;y_{1}=5$ $y-y_{1}=m(x-x_{1})$ $y-5=1(x-2)$ $y-5=1(x-2)$ open up the bracket $y-5=x-2$ Add $5$ to both sides $y=3x-2+5$ $y=x+3$
to both sides
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Write the equation of the line with
$m=3; x_{1}=2;y_{1}=5$ $y-y_{1}=m(x-x_{1})$ $y-5=3(x-2)$ $y-5=3(x-2)$ open up the bracket $y-5=3x-6$ Add $5$ to both sides $y=3x-6+5$ $y=x-1$
to both sides
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Add
Write the equation of the line with
$m=4; x_{1}=7;y_{1}=8$ $y-y_{1}=m(x-x_{1})$ $y-8=4(x-7)$ $y-8=4(x-7)$ open up the bracket $y-8=4x-28$ Add $8$ to both sides $y=4x-28+8$ $y=x-20$
to both sides
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Add
Write the equation of the line with
$m=1; x_{1}=7;y_{1}=8$ $y-y_{1}=m(x-x_{1})$ $y-8=1(x-7)$ $y-8=1(x-7)$ open up the bracket $y-8=x-7$ Add $8$ to both sides $y=x-7+8$ $y=x+1$
to both sides
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Add
Write the equation of the line with
$m=-2; x_{1}=-3;y_{1}=2$ $y-y_{1}=m(x-x_{1})$ $y-2=-2(x--3)$ $y-2=-2(x+3)$ open up the bracket $y-2=-2x-6$ Add $2$ to both sides $y=-2x-6+2$ $y=-2x-4$
to both sides
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Add
Write the equation of the line with
$m=6; x_{1}=-3;y_{1}=2$ $y-y_{1}=m(x-x_{1})$ $y-2=6(x--3)$ $y-2=6(x+3)$ open up the bracket $y-2=6x+18$ Add $2$ to both sides $y=6x+18+2$ $y=6x+20$
to both sides
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Add
Write the equation of the line with
$m=3; x_{1}=-5;y_{1}=6$ $y-y_{1}=m(x-x_{1})$ $y-6=3(x--5)$ $y-6=3(x+5)$ open up the bracket $y-6=3x+15$ Add $6$ to both sides $y=3x+15+6$ $y=3x+21$
to both sides
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Add
Write the equation of the line with
$m=5; x_{1}=-5;y_{1}=6$ $y-y_{1}=m(x-x_{1})$ $y-6=5(x--5)$ $y-6=5(x+5)$ open up the bracket $y-6=5x+25$ Add $6$ to both sides $y=5x+25+6$ $y=5x+31$
to both sides
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Add
Write the equation of the line with
$m=5; x_{1}=-4;y_{1}=7$ $y-y_{1}=m(x-x_{1})$ $y-7=5(x--4)$ $y-7=5(x+4)$ open up the bracket $y-7=5x+20$ Add $7$ to both sides $y=5x+20+7$ $y=5x+27$
to both sides
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Add
Quadratic function
$2x^{2}-4=0$ Add 4 to both sides $2x^{2}=4$ Divide both sides by $2$ $x^{2}=2$ square root both sides $\therefore x=\pm \sqrt{2}$
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Divide both sides by
square root both sides