The slope of the line that is perpendicular to 6x + 2y = -32 is: 1/3.
<h3>What is the Slope of Perpendicular Lines?</h3>
The slope of two lines that are perpendicular to each other will always have a product that is equal to -1, which means that their slopes are negative reciprocals to each other.
Rewrite 6x + 2y = -32 in slope-intercept form:
2y = -6x - 32
2y/2 = -6x/2 - 32/2
y = -3x - 16
The slope is -3. Negative reciprocal of -3 is 1/3.
Therefore, the slope of the perpendicular line would be: 1/3.
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Answer:
Use photo math, it will explain all the steps
Make a proportion
6/18 = 10/z
Cross multiply
180 = 6z
180/6 = z
Z = 30
X = -12 !!
so first rewrite the fraction
multiply both sides
move the constant to the right
change the signs
then you have your solution