Question

What is the slope of a line perpendicular to a line with an equation 4x-2y=6?

Answer 1

Slope of a line perpendicular to the given line will be `-1/2`

Explanation:

Let us first write the equation of line `4x-2y=6` to slope intercept form `y=mx+c`, where `m` is slope of the line and `c` is intercept formed by the line on `y`-axis.

As `4x-2y=6`, we have `2y=4x-6` and `y=2x-3` and hence slope of the line is `2`.

As the product of slopes of two lines perpendicular to each other is `-1`,

Hence, the slope of a line perpendicular to the line is `-1/2`