Line m passes through the points (4, 1) and (7, 3) while line n passes through the points (-3, 5) and (-9, 1). which statement accurately describes the relationship between the two lines?

a. lines m and n have opposite reciprocal slopes so they are perpendicular.
b. lines m and n have the same slope so they are perpendicular.
c. lines m and n have the same slope so they are parallel.
d. lines m and n have opposite reciprocal slopes so they are parallel.

C. Lines m and n have the same slope so they are parallel.

Step-by-step explanation:

We know that the the slope(m) of a line passing through points (a,b) and (c,d) is

Thus, the slope of line m passes through the points (4, 1) and (7, 3) will be

The slope of line n passes through the points (-3, 5) and (-9, 1) will be

Therefore, Lines m and n have the same slope and if slopes of two lines are same then they are parallel.

Hence, Lines m and n have the same slope so they are parallel.

the probability is 0

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.