Find an equation for the line with the given properties.

Question

Find an equation for the line with the given properties. Express your answer using either the general form or the​ slope-intercept form of the equation of a line. Perpendicular to the line y=1/2x-1; containing the point (1,-2)

The equation is:

Answer 1

The line with equation y = (1/2)x - 1 has slope 1/2. So, any line perpendicular to that line has slope

-1 / (1/2) = -2.

An equation of the line with slope -2 and which passes through the point (1, -2) is:

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

Solve for y.

Answer 2

y = -2x + b

Substitute (1, -2) to determine b