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[ Please help ] The equation of a line is shown below.

y = -1/3x - 24

What is the equation of a line which is perpendicular to this line and passes through (1, 27) (1 point)


y = 3x - 24

y = 7x - 24

y = 7x + 24

y = 3x + 24

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kudzordzifrancis

ANSWER


The correct answer is D


EXPLANATION

The slope of the given line

[tex] =-\frac{1}{3}[/tex]


The line perpendicular to it has slope

[tex]=\frac{-1}{\frac{-1}{3}} =3[/tex]


If the line passes through

[tex](1,27)[/tex]

Then the equation is given by


[tex]y-y_1=m(x-x_1)[/tex]



[tex]\Rightarrow y-27=3(x-1)[/tex]


[tex]\Rightarrow y=3x-3+27[/tex]


[tex]\Rightarrow y=3x+24[/tex]

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