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

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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