Answer:
To determine the slope of a line that is parallel to the given function g(x) = (7/23)x - 138, we need to understand the concept of parallel lines and their slopes.
In mathematics, two lines are said to be parallel if they never intersect, meaning they have the same slope. The slope of a line represents its steepness or inclination and is defined as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.
The given function g(x) = (7/23)x - 138 is in slope-intercept form, y = mx + b, where m represents the slope. Comparing this equation with g(x), we can observe that the slope of g(x) is 7/23.
Therefore, any line that is parallel to g(x) will also have a slope of 7/23.
To summarize, the slope of a line that is parallel to g(x) = (7/23)x - 138 is 7/23.
Explanation: