Answer:
To find the slope of a line perpendicular to the given line, we need to determine the slope of the given line first. The equation of the given line is 183x - 3y = 18. To find the slope of this line, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where m represents the slope. Let's rearrange the equation: 183x - 3y = 18 -3y = -183x + 18 Divide both sides by -3: y = 61x - 6 Now we can see that the slope of the given line is 61. To find the slope of a line perpendicular to this line, we need to use the fact that perpendicular lines have slopes that are negative reciprocals of each other. The negative reciprocal of 61 can be found by taking the reciprocal (1/61) and changing its sign. So, the slope of a line perpendicular to the given line is -1/61. Therefore, the slope of a line perpendicular to the line whose equation is 183x - 3y = 18 is -1/61.
Explanation: