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Write an equation to represent the sum modeled in the following number line.

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Answer: blank + blank = nothing

Step-by-step explanation:

As you may already know, blank + blank = nothing. This principle applies to this question as well.

Hope you have a wonderful day/night.

There is no line provided but here is how to do it.

Assuming you mean a line on a graph, it would likely have a slope, y-intercept, and x-intercept. In the most unlikely case, it would be in a horizontal or vertical direction which mean that the slope would be zero and undefined.

To make a slope-intercept equation out of a line on a graph use the format:

y = mx + b

M = the slope

B = y-intercept

Quick heads up: The x-intercept is not included in slope-intercept but is in the point-slope format. But personally, I believe the slope-intercept is easier format to understand (could be different from your perspective though).

So the y-intercept is like the beginning of a line or when the line intersects in the y-axis and the x-value of a ordered pair is 0.

To give an example, take a look at this ordered pair:

(0, 5)

In this ordered pair, the x-value is 0 and the y-value is 5. The 5 is the y-intercept because the x-value is 0.

So now onto the slope.

To calculate the slope, find two random ordered pairs on the line.

Then using the formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Calculate the slope.

To give a better understanding, the second ordered pairs y-value should be plugged in first and the first one lastly. Do the same for the x-value and divide. Then you should get the slope (sometimes it's easier to leave as a fraction since decimals can go on "forever.")

Now that the slope and y-intercept have been calculated, simply plug in everything.

As Mentioned before using the format y = mx + b for slope-intercept form.

Here's an example equation:

y = 0.5 + 5

The slope is 0.5 and the y-intercept and 5.

_____

Hope this helps!