What is the slope of a line perpendicular to the line whose equation is 12x+2y=-1212x+2y=−12. Fully reduce your answer.

In this case the slope of a line perpendicular to the line whose equation is 12x+2y=-12 will be

Step-by-step explanation:

A line has the form:

y = m * x + b

where:

In this case, the line has the form 12*x+2*y=-12

First, you must isolate the variable "y", in order to arrive at the form of the line detailed above:

12*x+2*y=-12

2*y= -12 -12*x

y= (-12 -12*x)÷2

y= (-12)÷2 -(12÷2)*x

y= -6 -6*x

In this case: the slope is -6 and the Y-intercept is -6.

Two lines are perpendicular when they form four equal 90º angles. For two lines to be perpendicular, they must have their slopes inverse and changed sign.

Then, in this case the slope of a line perpendicular to the line whose equation is 12x+2y=-12 will be

The correct answer is the sales tax charged is $5.61 for $66 dinner at 8.5% tax rate.

Step-by-step explanation:

Cost of the dinner is $22. Tax levied on it is $1.87

Let x% is the rate of tax in the city.

Therefore, x% of 22 = 1.87

⇒ x = 1.87 × = 8.5

Therefore 8.5% is the tax rate in the city on foods.

Now another dinner costs $66.

Tax levied on it at the same percentage is given by 8.5% of 66 = $5.61.

Thus $5.61 as sales tax would be charged for a $66 dinner.