Okay! Let’s break it down step by step!
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Starting with y = -x + 1 + 5:
- First, we see the equation has -x. This means it's a line that goes down as we move to the right.
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Combining the numbers:
- If we add 1 and 5 together, we get 6. So now we can rewrite our equation:
- y = -x + 6.
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What does this mean?:
- The number 6 means that our line starts higher up on the graph, at (0, 6) when x is 0. That's where our line crosses the y-axis.
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The slope:
- The -x means the line goes down. For every step we take to the right (positive x), we go down one step (since the slope is -1).
So, to sum it up:
- We took y = -x + 1 + 5,
- Combined 1 and 5 to get 6,
- Now we have y = -x + 6 which is a line going down that crosses the y-axis at 6!
That’s it! Simple!