Line m passes through the points (3, 7) and (6, 12) while line n passes through the points (-5, 1) and (-2, 6).

which statement accurately describes the relationship between the two lines?

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

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

Step-by-step explanation:

tangent

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)