​Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is veritcal.  Problem: (2,-1) and (-6, 3)
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Slope: (3-(-1))/(-6-2)=4/(-8)=-½.

To find the line, use slope-intercept form of a line:

y-(-1)=-½(x-2), y+1=-½x+1, y=-x/2.

(Or we could simply realise that the magnitude of the y-coord is half the value of the x-coord, but then y is negated.)

What we have is a line passing through the origin (0,0) leaning backwards at a shallow angle to the horizontal.


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