SOLUTION: Linear function 1 has the equation y=16−2x. Linear function 2 passes through the points (4, 2) and ( - 4, k). What must be the value of k for the case where the two linear fun

Algebra ->  Equations -> SOLUTION: Linear function 1 has the equation y=16−2x. Linear function 2 passes through the points (4, 2) and ( - 4, k). What must be the value of k for the case where the two linear fun      Log On


   



Question 1141853: Linear function 1 has the equation y=16−2x. Linear function 2 passes through the points (4, 2) and ( - 4, k). What must be the value of k for the case where the two linear functions have the same x - intercept?


Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
LF 1 has an x-intercept at (8, 0), because when x=8, y=0 (x-axis)
LF 2 has two known points, at (4, 2) and (8, 0)
slope between these is -2/4 or -1/2
point slope formula y-y1=m(x-x1), m slope and (x1, y1) a point
y=-(1/2)(x-8)
y=-(1/2)x+4 is the function
when x=-4, y or k, the answer, is 6
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-2x%2B16%2C-%28x%2F2%29%2B4%29