Question
Does (–5, –5) make the equation y = x^2 − –6x true?
Answers
GPT-4o mini
To determine if the point (–5, –5) makes the equation \( y = x^2 - -6x \) (which simplifies to \( y = x^2 + 6x \)) true, we can substitute \( x = -5 \) into the equation and see if \( y \) equals -5.
First, let's substitute \( x = -5 \):
\[
y = (-5)^2 + 6(-5)
\]
Calculating each part, we get:
\[
y = 25 + (-30)
\]
Now, simplify this:
\[
y = 25 - 30 = -5
\]
Since we found that \( y = -5 \), which matches the second coordinate in the point (–5, –5), we conclude:
The point (–5, –5) does make the equation \( y = x^2 + 6x \) true.
First, let's substitute \( x = -5 \):
\[
y = (-5)^2 + 6(-5)
\]
Calculating each part, we get:
\[
y = 25 + (-30)
\]
Now, simplify this:
\[
y = 25 - 30 = -5
\]
Since we found that \( y = -5 \), which matches the second coordinate in the point (–5, –5), we conclude:
The point (–5, –5) does make the equation \( y = x^2 + 6x \) true.