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Step-by-step explanation:

1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = slope.

2. First, to find the slope, we can use the two points from the given line which are (-10,1) and (2,-5). Afterward, we plug in those values to this formula:

3. Now that we have our slope, our equation will look like this so far:

4. Since we're aware that b is the y-intercept, b = -4 because the line intersects the y-axis at (0,-4).

5. Now that we have the values of b and m, our equation will build up to this: