Answer:
The equation of the line in standard form is:
Step-by-step explanation:
Given the points
- (10,2)
- (14,-22)
Determining the slope between (10, 2) and (14, -22)
The point-slope form of the line equation is
where
- m is the slope of the line
- (x₁, y₁) is the point
substituting the values m = -6 and the point (10, 2) in the point-slope form of the line equation
adding 2 to both sides
We can write the equation in the standard form such as
Ax + By = C
Thus,
adding -6x to both sides
Therefore, the equation of the line in standard form is: