Pregunta
18. Graph \( y=\frac{1}{3} x \). Is \( (15,3) \) a solution?
Ask by Powell Page. in the United States
Mar 12,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\((15, 3)\) is not a solution to \( y=\frac{1}{3}x \).
Solución
1. The equation of the line is given by
\[
y=\frac{1}{3}x.
\]
2. The graph of this equation is a straight line passing through the origin with slope \(\frac{1}{3}\).
3. To check whether \((15, 3)\) is a solution, substitute \( x = 15 \) into the equation:
\[
y=\frac{1}{3}(15)=5.
\]
4. Since the computed value \( y=5 \) does not equal the given \( y=3 \), the point \((15, 3)\) does not satisfy the equation.
5. Therefore, \((15, 3)\) is not a solution to \( y=\frac{1}{3}x \).
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Simplifique esta solución Extra Insights
To check if \( (15,3) \) is a solution to the equation \( y = \frac{1}{3} x \), you can substitute \( x = 15 \) into the equation. This gives you \( y = \frac{1}{3} \cdot 15 = 5 \). Since the \( y \)-value here (5) does not match the given \( y \)-coordinate of 3, the point \( (15,3) \) is not a solution. Another fun way to verify this is to visualize it! If you graph the line defined by \( y = \frac{1}{3} x \), you’ll see it has a gentle upward slope, which means as \( x \) increases, \( y \) increases—specifically, not reaching 3 when \( x = 15 \). So, no matching point there!
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