Question

What is an equation of the line that passes through the point (4,1) and is perpendicular to the line 2x-y=4

Answer 1

Answer:
`y-1=-(1)/(2)(x-4)`

Explanation:

The equation of the given line can be rearranged as
`y=2x-4`.

Perpendicular lines have slopes that are negative reciprocals, so the slope of the line we need to find is -1/2.

Using point-slope form, the equation is
`y-1=-(1)/(2)(x-4)`.