Question

Which equation represents the line that is perpendicular to y= 1/5 and passed through (-4,3)

Answer 1

The equation of the line that is perpendicular to
`y = (1)/(5)` is
`x = -4`.

Step-by-step explanation:

A line is represented by following equation:

`y = m\cdot x + b`

Where:

`x` - Independent variable.

`y` - Dependent variable.

`m` - Slope.

`b` - x-Intercept.

The slope of a line that is perpedicular to a given line can be determined in terms of a slope:

`m_(\perp) = -(1)/(m)`

`m_(\perp) = -(1)/(0)` (Undefined)

As result is undefined, it is meant that new line is a vertical line, whose form is:

`x = a`

Therefore, the equation of the line that is perpendicular to
`y = (1)/(5)` is
`x = -4`.