△LMN and △NOP similar right triangles. The coordinates of all the vertices are integers.
The slope of LN¯¯¯¯¯ is equal to the slope of NP¯¯¯¯¯¯. This because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for LN¯¯¯¯¯ as for NP¯¯¯¯¯¯
The relationship between the slope of LN¯¯¯¯¯ and the slope of NP¯¯¯¯¯¯ cannot be determined, because the triangles are congruent.
The slope of LN¯¯¯¯¯ is greater than the slope of NP¯¯¯¯¯¯. This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for LN¯¯¯¯¯ than for NP¯¯¯¯¯¯.
The slope of LN¯¯¯¯¯ is less than the slope of NP¯¯¯¯¯¯. This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for LN¯¯¯¯¯ than for NP¯¯¯¯¯¯.
