Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k. Two lines labeled f of x and g of x. Line f of x passes through points negative 6, negative 2 and negative 3, 1. Line g of x passes through points negative 2, negative 2 and negative 1, 1.

Algebra always makes things sound harder than they actually are, and weird vocabulary can mix up the steps we knew so well.

Part 1: Multiply the first equation by a 2 so that you can cancel out the y variable.

6x - 2y = 0

5x + 2y = 22

Part 2: Actually cancel out the y variables, and combine like terms.

11x = 22

Part 3: Solve for "x" by dividing both sides by 11

x = 2

Part 4: Substitute the variable "x" with the value we just solved for in the original equation.

3(2) - y = 0

6 - y = 0

Then, solve for y by adding y to both sides

6=y

Solution Set = {2,6}