Aanswer (a) and (b) a) a line pq is parallel to the line MN

b) The line MN is four times the length of the line pq​

Step-by-step explanation:

a). From the given picture,

    It's given:  PM = 3(LP) and QN = 3(QN)

    In ΔLPQ and ΔLMN,

    LM = LP + PM

         = LP + 3LP

         = 4(LP)

    Similarly, LN = 4(LQ)

    By the converse property of similar triangles,

    Corresponding sides of the triangles are proportional.  

    Therefore, their angles will be equal in measure.

    ∠LPQ ≅ ∠LMN and ∠LQP ≅ ∠LNM

    Line PQ will be parallel to the line MN (By Converse of corresponding angle theorem).

b). Since, ΔLPQ ~ ΔLMN their corresponding sides will be in the same ratio.

    MN = 4PQ  

hi how are you doing today, if you need just ask me.

step-by-step explanation:

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: