Question 312742
{{{f(x)= -1/2x-4}}}
a) find f(-4)
Plug in -4 fox x and solve
{{{f(-4)= (-1/2)*4-4}}}
{{{f(-4)= -2-4}}}
{{{f(-4) = -6}}}
b) Determine the coordinates of the x-intercept
x intercept is found when the y coordinate is 0. So set f(x) = 0 and solve
{{{f(x)= (-1/2)x-4}}}
{{{0 = (-1/2)x - 4}}}
{{{4 =  (-1/2)x}}} 
{{{-8 = x}}}
x intercept is (-8,0)
c) Determine the coordinates of the y-intercept
y intercept is found when x coordinate equal 0. Set x=0 and solve
{{{f(x)= (-1/2)x-4}}}
{{{f(x)= (-1/2)*0-4}}}
{{{f(x)= -4}}}
y intercept is the point (0, -4)
d) Determine the slope
use slope intercept form of a line. This equation is already in that form (y = mx +b).
So the slope is -1/2
e) Determine the slope of a line perpendicular to this line.
Perpendicular lines have slopes that are negative reciprocals of each other
so when their slopes are multiplied together, the result is -1
Slope for perp line is therefore -1/(-1/2) = 2