Intersection
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The ratio of a pair of values is always the same. or The scatter plot of the data indicates a straight line with a positive slope that passes through the origin.
y=3x
y=13x
Normally yes, but if the slope passes through the origin (0, 0) then it will have no y intercept.
Not always. For example, try to find the slope of the line that passes through the points (3, 4) and (2, 3).