Question

How do you write an equation of a line passing through (8, 2), perpendicular to `4x - y = 12`?

Answer 1

The equation of line is `y= -1/4x+4`

Explanation:

Comparing with the equation of line in slope-intercept form `y=mx+c`
we get the slope of the line `4x-y=12or y=4x-12` as `m_1=4`
The slope of the perpendicular line is `m_2=-1/m_1=-1/4:.`
The equation of line passing through`(8,2)`is `y-y_1=m_2(x-x_1)ory-2=-1/4(x-8) or y= -1/4x+4`[Ans]