If line passing through (3,-1) with slope 4; find y-intercept.
-13
The equation of a line with slope \(m\) passing through point \((x_1, y_1)\) is \(y - y_1 = m(x - x_1)\).
Substituting the point (3, -1) and slope 4: \(y - (-1) = 4(x - 3)\), so \(y + 1 = 4x - 12\).
Simplifying, \(y = 4x - 13\).
The y-intercept occurs at \(x = 0\), giving \(y = -13\).
Hence, the answer is -13.
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