Answer: y = (6/5)x - 3
Explanation:
In order to find a slope perpendicular to a line, the slope of the perpendicular line has to be the opposite reciprocal of the slope of the original line. For example, if the line had slope 2, then the perpendicular line would have to be -1/2. The y-intercept does not matter for perpendicular lines.
In this equation, we have the equation 5x + 6y = -18, and we can simplify it by transferring it to slope intercept form, shown in these steps:
5x + 6y = - 18
6y = -5x - 18
y = (-5/6)x - 3
Now that we have our slope, we just need to change it to be the opposite reciprocal, which is just 6/5, thus making our equation y = (6/5)x - 3.