The linear function that is perpendicular to -9x = 15 - 3y has a slope of -1/3.
<h3>What is the question?</h3>
The question is missing in this problem, and I also did not find any problem similar to this on a search engine, hence we are going to suppose that is asks the slope of a line perpendicular to the one given.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
If two linear functions are perpendicular, the multiplication of their slopes is of -1.
In this problem, the equation is:
-9x = 15 - 3y
3y = 9x + 15
y = 3x + 5.
The slope is of 3, hence the slope of the perpendicular line is found as follows:
3m = -1 -> m = -1/3.
More can be learned about linear function concepts at brainly.com/question/24808124
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