Question

The question asks write an equation of the line that passes through the given point and is perpendicular to the given line.

1. (1,1); y=1/2x+4

Answer 1

y - 1 = -2(x - 1)

Explanation:

We want a new line which is perpendicular to y = (1/2)x + 4. This new line will have a slope which is the negative reciprocal of 1/2, the slope of the given line. Thus, the slope of the perpendicular is -2.

Then, in point-slope form, the equation of the new line is:

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