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LINES, FUNCTIONS, AND SYSTEMS Writing an equation in slope-intercept form given the slope and ... A line passes through the point (8,-1) and has a slope of (3)/(4). Write an equation in slope-intercep

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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.

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