Final answer:
The equation of the line passing through the point (4,-2) with a slope of 5/4 is y + 2 = (5/4)(x - 4).
Step-by-step explanation:
To find the equation of a line with a given slope passing through a given point, we can use the point-slope form of a linear equation.
The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is the given point and m is the given slope.
Substituting the values x1 = 4, y1 = -2, and m = 5/4 into the point-slope form gives us the equation of the line as y - (-2) = (5/4)(x - 4).
Simplifying the equation gives us the final answer: y + 2 = (5/4)(x - 4).