Questions: [-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 11 12 x 12 11 10 9 8 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 y]

[-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 11 12 x

12
11
10
9
8
7
6
5
4
3
2
1

-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12
y]
Transcript text: [-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 11 12 x 12 11 10 9 8 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 y]
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Solution

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Solution Steps

Step 1: Identify two points on the line

Two points that are clearly on the line are (0,1) and (1,0).

Step 2: Calculate the slope

The slope of a line is given by the formula (y₂ - y₁) / (x₂ - x₁). Using the points (0,1) and (1,0), the slope is (0-1)/(1-0) = -1/1 = -1.

Step 3: Determine the y-intercept

The y-intercept is the point where the line crosses the y-axis. In this case, the line crosses the y-axis at y=1.

Final Answer

The equation of the line is y = -x + 1.

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