Write an equation for a line parallel to \( y=5 x+4 \) and passing through the point \( (4,19) \) \( y=\square \) Question Help: Video Submit Question
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To find a line parallel to \( y = 5x + 4 \), we need to use the same slope, which is 5. Now, we can use the point-slope form of a linear equation: \( y - y_1 = m(x - x_1) \), where \( m \) is the slope and \( (x_1, y_1) \) is the point the line passes through. Substituting \( m = 5 \) and the point \( (4, 19) \): \[ y - 19 = 5(x - 4) \] Distributing the 5 gives: \[ y - 19 = 5x - 20 \] Adding 19 to both sides yields: \[ y = 5x - 1 \] So, the equation of the parallel line is \( y = 5x - 1 \).
