Lines m and n lie in the standard (x, y) coordinate plane.
Line m includes the points (5, -3) and (5, 7). If line n is
perpendicular to line m, which of the following could be
the equation of line n?

Respuesta :

A possible linear equation for line n is given as follows:

y = b. (in which b is any constant).

How to define the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

  • m is the slope, representing the rate of change of the function.
  • b is the y-intercept, representing the value of y when x = 0.

When two lines are perpendicular, the multiplication of their slopes is of -1. Additionally, the perpendicular line to a vertical line is an horizontal line.

Two points on line m are given as follows:

(5, -3) and (5, 7).

Meaning that it is a vertical line, as the x-coordinate is constant.

Thus the perpendicular line n is an horizontal line, which has the definition given as follows:

y = b. (in which b is any constant).

More can be learned about linear functions at https://brainly.com/question/24808124

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