Respuesta :
The equation of the perpendicular line of y = 3x - 8 is [tex]y=-\frac{x}{3} +3[/tex].
Perpendicular lines
Perpendicular lines are those that cross at a straight angle (90 degrees).
If m is the slope of a line then the perpendicular line slope is -1/m.
How to find the perpendicular line?
First, we need to find the negative reciprocal of the slope given.
Because the slope is 3, the perpendicular line's slope will be -1/3.
Now all we have to do is locate the y intercept using the point (6, 1), then enter in the coordinates and solve for b. Let's take a look at what it looks like.
[tex]y=-\frac{x}{3} +b[/tex]---(1)
Substitute x=6 and y=1.
1 = - 6/3 +b
1 = -2 +b
b = 3
Put b value in equation 1
[tex]y=-\frac{x}{3} +3[/tex]
Hence the perpendicular line equation is [tex]y=-\frac{x}{3} +3[/tex].
Learn more about the perpendicular line here: https://brainly.com/question/18271653
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