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Answer:
6
Step-by-step explanation:
<h3>Convert to slope - intercept form</h3>Slope intercept form is y = mx + b
Step 1: Isolate y
To convert to slope - intercept form, we first want the term with y, on one side of the equation, and all the other terms on the other side. Since 2x is being added to 12y, we can subtract 2x from both sides.
2x + 12y = -192
12y + 2x = -192
12y = -192 - 2x
We also want to have the x term before any other terms in slope - intercept form. So we can simply move the x term to the left because both operations are the same (subtraction and subtraction)
12y = -192 - 2x
12y = -2x - 192
Step 2: Remove all terms with y
Now we just want y alone on one side of the equation. For this, we can divide all sides by 12 to isolate y, because y is being multiplied by 12. (opposite operation of multiplication is division)
12y = -2x - 192
12(y) = -2x - 192
y = (-2 - 192)/12
y = -1/6x - 16
Now we have our slope - intercept form equation ready.
<h3>Perpendicular Slope</h3>The perpendicular slope of a line is the opposite reciprocal of the slope of that line. This means that you find the opposite operation( subtraction and addition) of the slope, and the reciprocal (flip the numerator and denominator).
With this in mind, we can do that to our slope of -1/6
Step 1: Find the opposite
Easy, we are subtracting 1/6, so we can turn it into addition
-1/6 1/6
Step 2: Find the Reciprocal
This is also easy, just flip the numbers in the numerator and the denominator
1/6 6/1
6
The slope of the line perpendicular to 2x + 12y = -192 is 6
-Chetan K