put 3x-9y=9 in slope intercept form then state y-intercept and slope of the line...find the line that is perpendicular to this line and passes thru the point(2,7) thank you for your help

Expert Answers

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3x -9y = 9

First we will rewrite the equation as a function of x.

==>  3x -9 = 9y

==> 9y = 3x -9

Now we will divide by 9.

==> y= (1/3) x - 1  ( Slope-intercept form)

==> y-intercept is (0, -1)

The slope is m= 1/3

==> Slope of perpendicular line is -3

Given the point (2,7) passes through the perpendicular line.

==> y-y1 = m (x-x1)

==> y -7 = -3 (x-2)

==> y= -3x +6 +7

==> y= -3x +13  ( equation of perpendicular line)

 

 

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