Answer:
Step-by-step explanation:
In the question it’s given that : y=|x| => even if x will be a negative number,y will be positive.
1) -3 ; 3 ; (-3,3)
2) -2 ; 2 ; (-2,2)
3) -1 ; 1 ; (-1,1)
4) 0 ; 0 ; (0,0)
5) 1 ; 1 ; (1,1)
6) 2 ; 2 ; (2,2)
7) 3 ; 3 ; (3,3)
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.