Question

Slope=-1/6; (12, -2)

Answer 1

x + 6y = 0.

Explanation:

The equation is found using the point-slope form:

y - y1 = m(x - x1)

m = slope = -1/6, and (x1, y1) = (12, -2) so it is:

y - (-2) = -1/6(x - 12)

y + 2 = -1/6(x - 12) Multiply through by 6:

6y + 12 = - (x - 12)

6y + 12 = -x + 12

x + 6y = 12 - 12

x + 6y = 0.