Complete the following table to draw the graph of 2x - 6y = 3 (x = -5, y = ?; x = ?, y = 0)
Complete the following table to draw the graph of \(2x - 6y = 3\).
| x | −5 | \(\square\) |
| y | \(\square\) | 0 |
| (x, y) | \(\square\) | \(\square\) |
Complete the following table to draw the graph of \(2x - 6y = 3\).
| x | −5 | \(\square\) |
| y | \(\square\) | 0 |
| (x, y) | \(\square\) | \(\square\) |
Answer: \(\left(-5, -\frac{13}{6}\right)\) and \(\left(\frac{3}{2}, 0\right)\)
\(x = -5\): \(2(-5) - 6y = 3\), so \(-6y = 13\) and \(y = -\frac{13}{6}\).
\(y = 0\): \(2x = 3\), so \(x = \frac{3}{2}\).
| \(x\) | \(-5\) | \(\frac{3}{2}\) |
| \(y\) | \(-\frac{13}{6}\) | \(0\) |
| \((x, y)\) | \((-5, -\frac{13}{6})\) | \((\frac{3}{2}, 0)\) |
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