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It would have to be a negative slope.
So starting at negative y-intercepts, if it’s a positive slope, it’ll never cross a negative x-intercept. A negative slope will though.

Answer:   Slope is negative.

Explanation:

Pick any two negative numbers to represent the x and y intercepts. Let's say we go for -2 and -3 as the x and y intercepts.

That leads to the locations (-2,0) and (0,-3)

Find the slope through these two points.

m = (y2-y1)/(x2-x1)

m = (-3-0)/(0-(-2))

m = (-3-0)/(0+2)

m = -3/2

m = -1.5

We get a negative slope. The line moves downhill as we move to the right.

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