Question

[ 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

Answer 1

The correct answer is D

Step-by-step explanation

The slope of the given line

`=-(1)/(3)`

The line perpendicular to it has slope

`=(-1)/((-1)/(3)) =3`

If the line passes through

`(1,27)`

Then the equation is given by

`y-y_1=m(x-x_1)`

`\Rightarrow y-27=3(x-1)`

`\Rightarrow y=3x-3+27`

`\Rightarrow y=3x+24`