Answer:
y = - x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 3 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, then
y = - x + c ← is the partial equation
To find c substitute (- 3, - 1) into the partial equation
- 1 = 1 + c ⇒ c = - 1 - 1 = - 2
y = - x - 2 ← equation of perpendicular line
We have to find the included angle between and
.
An angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.
Here, in the given triangle KLJ, Angles formed along the line segment JL are and
.
Angles formed along the line segment JK are and
.
So, the included angle between the line segments JL and JK is .