Answer:
The equation of the line is 3x + y = 10.
Explanation:
To find the equation of a line, we need to know a point on the line and the slope of the line.
Given the point (4, -2) and the slope of -3, we can use the point-slope form of a line to find the equation.
The point-slope form of a line is given by: y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.
Plugging in the values, we have:
y - (-2) = -3(x - 4)
Simplifying the equation:
y + 2 = -3x + 12
Rearranging the equation to the standard form:
3x + y = 10
Therefore, the equation of the line is 3x + y = 10.