Question

which statements best explain why the slope of a line remains constant? select all correct answers. the ratio of rise to run stays the same for all scalene triangles formed along the line. any segment between two points on a line forms the hypotenuse of a right triangle, with rise and run as the legs. any segment between two points on a line forms one side of a scalene triangle, with rise and run as the two shorter sides. the ratio of rise to run remains the same for all right triangles formed along the line.

Explanation:

The slope of a line is defined as the ratio of the vertical change (rise) to the horizontal change (run). For any two - point segment on a line, a right - triangle can be formed where the segment is the hypotenuse and rise and run are the legs. The ratio of rise to run is constant for all right - triangles formed along the line because similar right - triangles are formed. Scalene triangles are not relevant in defining slope as slope is based on right - triangles formed by the vertical and horizontal displacements.

Answer:

B. Any segment between two points on a line forms the hypotenuse of a right triangle, with rise and run as the legs.
D. The ratio of rise to run remains the same for all right triangles formed along the line.