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WILL MARK AS BRAINILEST

WILL MARK AS BRAINILEST-example-1
User Greatghoul
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Explanation:

The given function is y = x - 4. Let's plot the points on the graph.

x | y

3 | -1

-3 | -7

-2 | -6

0 | -4

-1 | -5

1 | -3

2 | -2

When we plot these points, we get a straight line with a slope of 1 passing through the point (0, -4). The line goes up as x increases.

Now, let's compare this graph to the function y = x. The function y = x represents a straight line with a slope of 1 passing through the origin (0, 0). It has a positive slope, meaning the line goes up as x increases.

The key difference between the two graphs is the vertical shift. In the graph of y = x - 4, the line is shifted downward by 4 units compared to the line of y = x. The slope and the direction of the line remain the same.

Now, let's make a prediction about the function y = x + 7.

Since this function has a slope of 1, just like y = x and y = x - 4, the graph of y = x + 7 would also be a straight line. However, the graph would be shifted vertically upwards by 7 units. The line would still have a positive slope and pass through the point (0, 7) instead of the origin (0, 0).

In summary, the graph of y = x - 4 is a straight line with a downward shift of 4 units compared to y = x. If we graph the function y = x + 7, it would also be a straight line but shifted upwards by 7 units.

I hope this helps! Let me know if you have any further questions.

User Meliksahturker
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8.3k points

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