Question

The equation for line p can be written as y = 1/4x + 3. Line q includes the point (-1, 5) and is

perpendicular to line p. What is the equation of line q?

Answer 1

`y=-4x+1`

Explanation:

To get this, use the following steps:

1) Knowing that line q is perpendicular to the line p, the slope of line q must be the negative reciprocal of the slope of line p. Thus the slope is
`-((1)/(4))^(-1) = -4`

2) To find the equation, plug in the point given:

`5 = -4(-1) + b`

`b = 1`

3) The equation of line q is thus:

`y= -4x+1`