The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
<h3>How to determine the slope of a line perpendicular to another line</h3>
The slope of a function is determined by the secant line formula and is defined by the following expression:
m = Δy / Δx (1)
Where:
- Δx - Change in the independent variable.
- Δy - Change in the dependent variable.
- m - Slope of the line.
Besides, by analytical geometry, the slope of a line perpendicular to another line is equal to:
m' = - 1 / m
If we know that Δx = 2 and Δy = 3, then the slope of the line perpendicular to the line seen in the picture is:
m = 3 / 2
m' = - 1 / (3 / 2)
m' = - 2 / 3
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
To learn more on slopes: brainly.com/question/2491620
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