for point slope form, we need a point and a slope to fill out the following equation:
[tex]y - y1 = m(x - x1)[/tex]
the point is given by the problem, and the slope we have to solve for:
In the perpendicular line, the slope is -2. To find a perpendicular slope, we take the negative reciprocal, or plug it in here:
[tex]new \: slope \: = - \frac{1}{m} [/tex]
so our slope is -1/(-2), or .5.
now we plug all of our values into the equation above, and get:
y - 4 = .5(x + 1)
