Final answer:
The equation y−4=−1(x−0) is already in point-slope form, representing a line with a slope of -1 passing through the point (0, 4).
Step-by-step explanation:
The student's question asks to write a given equation in the point-slope form. The equation provided is y−4=−1(x−0), which is already in the point-slope form. In general, the point-slope form of a linear equation is written as (y − y1) = m(x − x1), where m is the slope of the line and (x1, y1) is a particular point on the line. Given that the slope is −1 and the point given by the equation is (0, 4), the equation y−4 = −1(x−0) correctly represents a line with a slope of −1 passing through the point (0, 4). The negative sign (-1) indicates the slope, and the point (0, 4) suggests that when x is 0, y is 4, which is the y-intercept.