Respuesta :

Answer:

  y = -3x - 23

Step-by-step explanation:

When a transversal of the two lines is constructed, the alternate interior angles formed by the transversal are congruent. This means line m and n are parallel to each other so their slope will be the same.

Given:

  line m:   y = -3x + 8                 <======= slope is -3

line n going through point (-4, -11) with same slope as line m:

  y = mx + b

  (-11) = -3(-4) + b

  -11 = 12 + b

  b = -23                                    <===== y-intercept of line n

Use the above slope and y-intercept to form equation of line n:

  y = mx + b

  y = -3x - 23