Answer:
The value of k is -4 and the equation of the line is .
Step-by-step explanation:
The equation of the line is defined by the following formula:
(1)
Where:
- Independent variable.
- Dependent variable.
- y-Intercept.
- Slope.
In addition, the slope of the equation of the line () can be known from two distinct points:
(2)
Where and are the coordinates of the reference point.
By applying (2) in (1), we derive the resulting expression:
(3)
If we know that , , , and , then the value of is:
The value of the slope is:
The equation of the line is .