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Find the slope of a line perpendicular to the line whose equation is

15x−12y=216. Fully simplify your answer.

User Khanakia
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Answer:

-4/5

Explanation:

To find the slope of a line perpendicular to the line with the equation 15x - 12y = 216, we can follow these steps:

Step 1: Rewrite the given equation in slope-intercept form, y = mx + b, where m represents the slope of the line:

15x - 12y = 216

First, subtract 15x from both sides:

-12y = -15x + 216

Then, divide both sides by -12 to solve for y:

y = (15/12)x - 18

Simplifying further, we have:

y = (5/4)x - 18

Step 2: Identify the slope of the given line. In this case, the coefficient of x in the slope-intercept form is (5/4), which represents the slope.

Step 3: Determine the slope of a line perpendicular to the given line. The slopes of perpendicular lines are negative reciprocals of each other. To find the negative reciprocal of (5/4), we flip the fraction and change the sign:

Negative reciprocal of (5/4) = -4/5

Therefore, the slope of a line perpendicular to the line with the equation 15x - 12y = 216 is -4/5.

User Dovev Hefetz
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