Question
Does the point (3, –1) satisfy the equation y = x − –4?
true or false
true or false
Answers
GPT-4o mini
To determine if the point (3, –1) satisfies the equation \( y = x - -4 \), we need to simplify the equation first.
The equation can be rewritten as:
\[ y = x + 4 \]
Now, we can check if the point (3, –1) satisfies this equation by substituting \( x = 3 \) and checking if \( y = -1 \).
Substituting \( x = 3 \):
\[ y = 3 + 4 \]
\[ y = 7 \]
The left-hand side (the value of \( y \) for the point (3, -1)) is \(-1\), but the right-hand side (calculated value) is \(7\). Since \(-1 \neq 7\), the point (3, –1) does not satisfy the equation.
Thus, the answer is **false**.
The equation can be rewritten as:
\[ y = x + 4 \]
Now, we can check if the point (3, –1) satisfies this equation by substituting \( x = 3 \) and checking if \( y = -1 \).
Substituting \( x = 3 \):
\[ y = 3 + 4 \]
\[ y = 7 \]
The left-hand side (the value of \( y \) for the point (3, -1)) is \(-1\), but the right-hand side (calculated value) is \(7\). Since \(-1 \neq 7\), the point (3, –1) does not satisfy the equation.
Thus, the answer is **false**.