Question

Select two equations of lines that are perpendicular to the line whose equation is x + 5y = 50. I need help please.

Answer 1

`y = 5x + 1` and
`y = 5x + 2` are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

Explanation:

Equation of a line:

The equation of a line has the following format:

`y = mx + b`

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

The equation of the line is:

`x + 5y = 50`

Placing in the standard format:

`5y = -x + 50`

`y = -(x)/(5) + 10`

The slope is
`-(1)/(5)`

Slope of the perpendicular lines:

`-(m)/(5) = -1`

`m = 5`

So

`y = 5x + b`

Attributing two values to b:

`y = 5x + 1` and
`y = 5x + 2` are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.