-------------------------------------------------------------------------- Rearrange the equation -------------------------------------------------------------------------- [tex]y - 9 = - \dfrac{1}{2} (x + 2) \\ \\
y - 9 = - \dfrac{1}{2}x - 1 \\ \\
y - 9 + 9 = - \dfrac{1}{2}x - 1 + 9 \ \Longleftarrow \text{add 9 to both side} \\ \\
y = -\dfrac{1}{2}x + 8 [/tex]
-------------------------------------------------------------------------- slope of the perpendicular line -------------------------------------------------------------------------- slope = 2
(*the slope of the perpendicular line is the negative reciprocal of the slope of line)
--------------------------------------------------------------------------- Substitute slope into equation y = mx + c --------------------------------------------------------------------------- y = 2x + c
--------------------------------------------------------------------------- Find y-intercept --------------------------------------------------------------------------- y = 2x + c At point (0, 4) 4 = 2(0) + c c = 4
---------------------------------------------------------------------------- Substitute y-intercept into the equation y = 2x + c ----------------------------------------------------------------------------- y = 2x + 4
---------------------------------------------------------------------------- Answer: y = 2x + 4 -----------------------------------------------------------------------------
