Answer:
- 3x + y = 22
Explanation:
Equation of the line
There are several forms to write the equation of a line.
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
The standard form of the equation of a line is:
Ax + By = C
We are given the slope m=3 and the point (-6,4). Substituting into the first equation:
y - 4 = 3 ( x + 6 )
Operating:
y - 4 = 3x + 18
Adding 4:
y = 3x + 18 + 4
Subtracting 3x, we get the standard form:
- 3x + y = 22