Answer: y = -2x - 4
The equation of the line given is
[tex]\frac{1}{2}x\text{ + 1}[/tex]
The slope - intercept form of equation is written as
y = mx + b
Where m = slope and b = intercept
From the above equation
m = 1/2
For a perpendicular line
[tex]\begin{gathered} For\text{ perpendicular line} \\ m1\text{ x m2 = -1} \\ m1\text{ = }\frac{1}{2} \\ \text{Therefore,} \\ \frac{1}{2}\text{ x m2 = -1} \\ \text{Make m2 the subject of the formula} \\ m2\text{ = }\frac{-1}{\frac{1}{2}} \\ m2\text{ = -1 x }\frac{2}{1} \\ m2\text{ = -2} \end{gathered}[/tex]
Since m2 = -2
Hence, the perpendicular equation can be calculated
(y - y1) = m(x - x1)
The given point is ( -4, 4)
x1 = -4 and y1 = 4, and m = -2
(y - 4) = -2(x - (-4)
(y - 4) = -2(x + 4)
Open the parenthesis
y - 4 = -2x - 2*4
y - 4 = -2x - 8
y = -2x -8 + 4
y = -2x - 4
