Pregunta
D) Does the point \( (7,3) \) satisfy the equation \( y=3 x \) ? yes no
Ask by Nichols Patel. in the United States
Jan 30,2025
Solución de tutoría real
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The point \( (7, 3) \) does not satisfy the equation \( y = 3x \).
Solución
No, the point \( (7, 3) \) does **not** satisfy the equation \( y = 3x \).
**Explanation:**
To determine if the point \( (7, 3) \) lies on the line defined by \( y = 3x \), substitute \( x = 7 \) into the equation:
\[
y = 3x \\
y = 3 \times 7 \\
y = 21
\]
According to the equation, when \( x = 7 \), \( y \) should be \( 21 \). However, the given point has \( y = 3 \), which does not equal \( 21 \). Therefore, the point \( (7, 3) \) does not satisfy the equation \( y = 3x \).
**Answer:** No
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Simplifique esta solución The Deep Dive
To see if the point \( (7,3) \) satisfies the equation \( y=3x \), we can plug \( x = 7 \) into the equation. Doing the math: \( y = 3 \times 7 = 21 \). Since the resulting \( y \) value (21) does not equal the \( y \) value from the point (3), the answer is no. In terms of graphing, if you plot the line described by the equation \( y=3x \), it has a steeper incline, cutting through the origin and climbing upwards. You'll notice that the point \( (7,3) \) is way below the line, confirming it doesn’t satisfy the equation!
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