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Write an equation in slope intercept form for a line perpendicular to the line
y=-3x + 2 through (4,0)

Sagot :

kevinclq0811

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]

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