Final answer:
The slope-intercept form of the equation of a line passing through the point (8,-1) with a slope of (3/4) is y = (3/4)x - 7.
Step-by-step explanation:
The question relates to finding the equation of a line in slope-intercept form, which is y = mx + c, where 'm' is the slope and 'c' is the y-intercept.
Given that the slope 'm' is (3/4) and the line passes through the point (8, -1), we substitute these values into the equation: -1 = (3/4)*8 + c. Solving this gives us 'c' which represents the y-intercept.
Therefore, c = -1 - 3*8/4 = -1 - 6 = -7.
So, the equation of the line is y = (3/4)x - 7.
Learn more about Slope-intercept Form