Given:
Line a is perpendicular to line b
.
Line a passes through the points (1,-8) and (9,-12)
.
Line b passes through the point (-8, -16).
To find:
The equation of b.
Solution:
Line a passes through the points (1,-8) and (9,-12)
. So, slope of line a is
Product of slopes of two perpendicular lines is -1.



Slope of line b is 2.
If a line passing through a point
with slope m, then equation of line is

Line b passing through (-8,-16) with slope 2. So, equation of line b is



Subtract 16 from both sides.

Therefore, the equation of line b is
.
Answer:
Step-by-step explanation:
It is the 2nd one and 4th one. The x intercepts are -1 and -3, so the factors are x + 3 and x + 1. The 4th choice is the actual equation and the 2nd is the factors