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In the figure above, the point on segment PQ that is twice as far from

1 2

Rickooreoisb

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22 Dec 2025, 00:38

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For others, given I took time to understand

When someone says:

A quick glance at the graph gives us the slope of 1

they mean:

For every +1 in x,
y increases by +1

That’s it. No formula, no numbers required for calculating the other points that were computed by essarr

essarr

I think with questions like these, the test writers are testing whether you'd quickly jump to using an algebraic approach, which in this case is much more time consuming, as compared to making the answer choices a part of your toolbox for finding the correct answer..
The question itself tells us we need to split the line into 3 equal parts with the asked coordinate being 2 parts away from P
A quick glance at the graph gives us the slope of 1, which easily shows us which points will cover the three segments
P(0,-1) --> (1,0) --> (2,1) --> Q(3,2)
Thus (2,1) being twice as far from P as from Q

True, an algebraic approach might be required for more complex problems where the slope isn't easily determined or the line segment might be split into a different ratio, but this question isn't testing that