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Answer:
y=(1/3)x- 4/3
Step-by-step explanation:
If two lines are perpendicular to each other, then the slopes will be the negative inverse to each other.
Example:
the negative inverse of 2 is -1/2
the slope of [tex]y=-3x+2[/tex] is -3
the negative inverse of -3 is [tex]\dfrac{1}{3}[/tex]
So we have the perpendicular line be :[tex]y=\dfrac{1}{3}x+b[/tex]
Since it also go through (4,0)
plug in we get [tex]0 = \dfrac{4}{3}+b[/tex]
[tex]b=-\frac{4}{3}[/tex]
So the equation would be
[tex]y=\frac{1}{3}x - \frac{4}{3}[/tex]