What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)

Step-by-step explanation:

The equation of the line is not given.

Let m be the slope of the given line.

Using this information we can solve the question in the following manner:

We are given the following in the question:

The line passes through the point (5, 3) and is perpendicular to line with slope m.

When lines are perpendicular, then the product of their slopes is -1.

Slope =

The point slope form of line can be written as:

Putting the values, we get:

The above equation is the required equation of the line.

Lines can be parallel, perpendicular to one another; and the lines may have no relationship at all.

The equation of the line is:

From the given line (see attachment), we have the following points

The slope (m) of the line is:

So, we have:

From the question, we understand that:

The line whose equation, we are to calculate is perpendicular to the line on the graph

This means that; the slope (m2) of the required line is:

So, we have:

The equation of the line is then calculated as:

Where:

So, we have:

Hence, the equation of the line is:

Read more about equation of perpendicular lines at:

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