Answer:
The equation of the line that passes through the points (3,-4) and (-4,3) can be found using the point-slope form of a linear equation. The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is any point on the line, and m is the slope of the line. In this case, the slope of the line is (3 - (-4))/((-4) - 3) = 7/7 = 1. Therefore, the equation of the line is y - (-4) = 1(x - 3), or equivalently, y = x + 1.