Question

If a line has slope a, what is the slope of its reflection across the line y=x?Question content area bottomPart 1The slope of its reflection across the line y=x will be

Answer 1

By definition, let m be the slope a line, then m can be calculated by the following equation:

`m=(y_2-y_1)/(x_2-x_1)^{}`

Given that (x1, y1) and (x2, y2) are known points of the line. By reflecting all the points of the line across the line y = x