Question

Graph the functions f(x)=−6x+14 and g(x)=−2x+6 on the same coordinate plane. What are the solutions of the equation −6x+14=−2x+6 ? Select each correct answer. 0 1 2 3 4

Answer 1

The first thing you should do for these cases is to graph both lines and see where they intersect.
 At the point of intersection we will find the solution a f (x) = g (x)
 For this case, when observing the graph, we see that the lines intersect at the point P = (2,2).
 Therefore the solution is x = 2
 answer
 x = 2

Answer 2

We can solve for x: -6x+14=-2x+6
   Add 6x to both sides:
 14=4x+6
   Subtract 6 from both sides:
 8=4x
   Divide both sides by
4: 2 = x
   And we achieve the solution of the equation, x = 2. When looking at the graphs of the functions we should see them cross each other only at the point (2,2).