Find the slope of a line parallel to the line whose equation is 5, x, minus, 3, y, equals, 185x−3y=18. Fully simplify your answer.
To find the slope of a line parallel to the given line, we need to find the slope of the given line first.
The equation of the line in slope-intercept form is y = mx + b, where m represents the slope.
To write the equation 185x - 3y = 18 in slope-intercept form, we need to solve for y:
-3y = -185x + 18
y = 185/3 x - 6
Comparing this equation with y = mx + b, we can see that the slope, m, is 185/3.
Since lines that are parallel have the same slope, the slope of any line parallel to the given line will also be 185/3.