Step-by-step explanation:
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Correct answer should be 1/2
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.
Learn more about the slope of perpendicular lines on:
brainly.com/question/1362601
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Answer:
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<u>Remove the parentheses:</u>
<u>Combine like terms:</u>
<u>Multiply 3 and 5x = 15x:-</u>
<u>Combine like terms:</u>
<u>Expand: 3x-(2x-1)= x+1</u>
<u>Subtract 1 from both sides:</u>
<u>Add 9x to both sides:</u>
<u>Divide both sides by 10:</u>
<u>________________________________</u>
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