Does (6, 1) make the equation y = x2 + –2x true?

Answer 1

To determine if the point (6, 1) makes the equation $y=x^2-2x$ true, we can substitute $x=6$ into the equation and check if it equals $y=1$.

First, substitute $x=6$ into the equation:

$$y=6^2-2(6)$$

Calculating $6^2$:

$$6^2=36$$

Next, calculate $-2(6)$:

$$-2(6)=-12$$

Now, combine the two results:

$$y=36-12=24$$

Since $y=24$ when $x=6$, we see that the coordinate $(6,1)$ does not satisfy the equation $y=x^2-2x$ because $24\ne 1$.

Thus, the point (6, 1) does not make the equation true.