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Maths Exercices

Does (x,y) satisfy a nonlinear equation?

A point makes an equation true (satisfies the equation) if plugging in x and y results in a true statement.

Does (0,2) make the equation y=x2-3x+2 true?

In the ordered pair (0,2), 0 is the x-value and 2 is the y-value.
Plug x=0 and y=2 into the equation.

y

=

x2-3x+2

2


02-3(0)+2
2


0-0+2
2 = 2

Yes, 2=2.
So, the point (0,2) satisfies the equation y=x2-3x+2


Does (0,-1) make the equation y=x2-3x true?

In the ordered pair (0,-1), 0 is the x-value and -1 is the y-value.
Plug x=0 and y=-1 into the equation.

y

=

x2-3x

-1


02-3(0)
-1


0-0
-1 0

No,
So, the point (0,-1) does not satisfy the equation y=x2-3x