We want to find the slope of a line perpendicular to 15*x + 9*y = 189.
The slope of the line perpendicular to the given line is 9/15.
First, a general line written in the slope-intercept form is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
And two lines are perpendicular if one has a slope that is equal to the inverse of the opposite of the other line's slope.
So, to find the slope of the line perpendicular to 15*x + 9*y = 189, first, we need to find the slope of this line.
To do it, we need to isolate y.
9y = -15x + 189
y = (-15/9)*x + 189/9
So the slope is -15/9
A perpendicular line to this must have a slope equal to the inverse of the opposite of this, so the slope of the perpendicular line is:
-(-9/15) = 9/15
The slope of the line perpendicular to the given line is 9/15.
If you want to learn more, you can read:
https://brainly.com/question/9379960
