The value of m is [tex]-\frac{1}{5}[/tex]
Step-by-step explanation:
The relation between the slopes of two perpendicular line is
∵ The equation of the perpendicular line is y = mx + b
∴ The slope of the perpendicular line is m
∵ The equation of the given line is y = 5x - 2
- The slope of the given line is the coefficient of x
∴ The slope of the given line = 5
- To find the slope of the perpendicular line to the given line
reciprocal the slope of the given line and change its sign
∵ The reciprocal of 5 is [tex]\frac{1}{5}[/tex]
∴ The slope of the perpendicular line = [tex]-\frac{1}{5}[/tex]
∵ m is the slope of the perpendicular line
∴ m = [tex]-\frac{1}{5}[/tex]
The value of m is [tex]-\frac{1}{5}[/tex]
Learn more:
You can learn more about the slopes of the perpendicular lines in brainly.com/question/9527422
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