Given line has the equation 2x +12 y equals negative one what is the equation in slope intercept form of the line that is perpendicular to the given line and passes through the point (0,9)? y=( ) x+9

y = 12x + 9 is the answer.

Step-by-step explanation:

Since the given equation is 2x + 12 y = -1

12y = -2x -1

Now this line is in the form of y = mx + c

Here m = slope = -1/12

We have to calculate the slope of another line perpendicular to this line and passing through (0, 9).

Let the equation is y = m' + c'

We know m×m' = -1 for two perpendicular lines

m' = 12

Therefore the equation will be

y = 12x + c'

Since this line passes through ( 0, 9)

9 = 12×0 + c'

c' = 9

Now the equation will be

y = 12x + 9

This is the answer.

2.83941151 would be the answer you're looking for! : )