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Which are parametric equations for a line passing through (–2, 1) with a slope of 4?

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Explanation:

Slope of line is 4. And the line is passing through point (1,2). We know, equation of line passing through
(x_0,y_0) with slope m is given by:


\boxed{y - y_0 = m(x - x_0)}

Substituting values of
(x_0,y_0) = (-2,1) and slope m = 4,


y - 1 = 4(x - (-2))

Opening the parentheses,


y - 1 = 4(x + 2)


y - 1 = 4x + 8

Moving all the terms to left hand side,


y - 1 - 4x - 8 = 0


y - 4x - 9 = 0


\therefore The equation of line is y - 4x - 9 = 0.

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