Write an equation in point slope form for the line that passes through the point (-1,4) and is perpendicular to the line y=-2x+7

For point slope form, we need a point and a slope to fill out the following equation:



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:



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)