SOLUTION: Let g be a linear function. If g(1)=3 and g(-4)=c, find the value of the constant c such that the line will have a slope equal to -1. Also, could you solve this one? 12x-45=-{48-

Algebra ->  Linear-equations -> SOLUTION: Let g be a linear function. If g(1)=3 and g(-4)=c, find the value of the constant c such that the line will have a slope equal to -1. Also, could you solve this one? 12x-45=-{48-      Log On


   

Question 56132: Let g be a linear function. If g(1)=3 and g(-4)=c, find the value of the constant c such that the line will have a slope equal to -1.
Also, could you solve this one?
12x-45=-{48-12x+3}
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Let g be a linear function. If g(1)=3 and g(-4)=c, find the value of the constant c such that the line will have a slope equal to -1.
:
The formula for the slope is:m=%28g%28x2%29-g%28x1%29%29%2F%28x2-x1%29
-1=%28c-3%29%2F%28-4-1%29%29
-1=%28c-3%29%2F%28-4-1%29
-1=%28c-3%29%2F-5
-5%28-1%29=%28-5%29%28c-3%29%2F-5
5=c-3
3%2B5=c-3%2B3
highlight%288=c%29
:
Check:
-1=%288-3%29%2F%28-4-1%29
-1=5%2F-5
-1=-1 Looks good.
:
For the second one.
12x-45=-{48-12x+3}
12x-45=-{51-12x}
12x-45=-51+12x
-12x+12x-45=51+12x-12x
-45=51
You ran out of variables and the sides aren't =, therefore there is no solution.
Happy Calculating!!!