Final answer:
The equation of the line in point-slope form that passes through the point (4, -20) with a slope of -5/4 is y = (-5/4)x - 15.
Step-by-step explanation:
To write the equation of a line that passes through the point (4, -20) with a slope of -5/4 using point-slope form, we use the formula y - y1 = m(x - x1), where (x1, y1) is the point the line passes through and m is the slope of the line. Substituting the given point and slope into this formula, we have y - (-20) = (-5/4)(x - 4). Simplifying, we get y + 20 = (-5/4)x + 5. Therefore, the equation of the line in point-slope form is y = (-5/4)x - 15.