To determine which point is on the graph of the equation \( y = 5x + 4 \), we can substitute the \( x \) values of each point into the equation and see if the resulting \( y \) value matches the \( y \) value of the point.
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For the point \( (6, 2) \): \[ y = 5(6) + 4 = 30 + 4 = 34 \quad (\text{not } 2) \]
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For the point \( (-6, -2) \): \[ y = 5(-6) + 4 = -30 + 4 = -26 \quad (\text{not } -2) \]
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For the point \( (2, 6) \): \[ y = 5(2) + 4 = 10 + 4 = 14 \quad (\text{not } 6) \]
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For the point \( (-2, -6) \): \[ y = 5(-2) + 4 = -10 + 4 = -6 \quad (\text{is } -6) \]
The point (-2, -6) is on the graph line of the equation \( y = 5x + 4 \).
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