Answers:
- No
- Yes
- No
- Yes
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Explanation:
Let's use the slope formula to get
m = (y2-y1)/(x2-x1)
m = (6-4)/(5-2)
m = 2/3
The slope of the line is 2/3.
We can see that the responses for choices 1 and 3 are "no" because they involve a slope of 3/2.
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Recall that y-y1 = m(x-x1) represents the point slope form. The m is the slope and (x1,y1) is the point the line goes through.
If we plugged the point (x1,y1) = (2,4) , along with the slope m = 2/3, then we'll get to what choice 2 is saying
If we tried the other point (5,6), and kept m the same, then we'd get to choice 4.
That makes choices 2 and 4 "yes" responses.
