y - 12 = -5(x + 12) is the required equation.
f(x) = -5x + 2
let f(x) = y
y = -5x + 2
y = -5x + 2
comparing it to y = mx + c
m = -5
The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point. The equation of a line is an equation that is satisfied by each and every point on the line. This means that a linear equation in two variables represents a line.
The point slope equation formula is
y - y₁ = m(x - x₁)
Now the equation of line containing (-2,12) is
y - 12 = -5(x + 12)
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