Final answer:
The equivalent expression to the point-slope form of a line equation y - y1 = m(x - x1) that isolates the slope m is A. m = (Y - Y1) / (X - X1).
Step-by-step explanation:
The equation y - y1 = m(x - x1) is known as the point-slope form of a line, where (x1, y1) is a point on the line and m is the slope of the line. The slope, m, can be understood as the rise over the run, which is the change in the vertical axis (y-axis) divided by the change in the horizontal axis (x-axis).
To find an expression equivalent to y - y1 = m(x - x1) that isolates the slope m, we need to solve for m. Doing so we get:
m = (y - y1) / (x - x1)
Thus, the equivalent expression to the given equation that isolates the slope m is A. m = (Y - Y1) / (X - X1).