SOLUTION: this is my original question: When y=5x is changed to y=5(x-6), how is the graph translated? what does that mean?

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Question 171045: this is my original question:
When y=5x is changed to y=5(x-6), how is the graph translated?
what does that mean?
Answer by actuary(112) (Show Source):
You can put this solution on YOUR website!
Think about the general equal for a line -- y = mx+b where m is the slope of the line and b is the y-intercept (the value of y when x = 0)
Take the equation y = 5*(x-6) Simplify this to y = 5*x - 30. Compare this equation to the equation y =5*x. The slopes are the same for each equation. However, the y-intercepts are different. The y-intercept is "0" for the equation y = 5*x. The y-intercept is -30 for the equation y = 5*x-30.
This means that the graph of the equation y = 5*x-30 is "pushed down" by 30 as compared to the graph of the equation y = 5x. To see this, look at the two graphs and see the difference between the value for "y" for each value of "x".