Final answer:
The equation of the line with a slope of 4 passing through the point (1,-6) is y = 4x - 10.
Step-by-step explanation:
The equation of a line that has a slope of 4 and passes through the point (1,-6) can be found using the point-slope form of a linear equation. The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. Plugging in the values for the given point and slope, we have y - (-6) = 4(x - 1). Simplifying the equation, we get y + 6 = 4x - 4. Rearranging the equation to the standard form, the equation of the line is y = 4x - 10.
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