The given line has an equation y = 2x + 2
Comparing the equation above to y = mx + c
where m stands for the slope and c stands for the y-intercept
m = 2
c = 2
The equation of the line perpendicular to the equation y = mx + c and passing through the point (x₁, y₁) is given by:
[tex]y-y_1=\frac{-1}{m}(x-x_1)[/tex]The line is passing through the point (4, -1).
That is, x₁ = 4, y₁ = -1
Substitute the values of m, x₁, and y₁ into the equation above:
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