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1. Understand the question

   Turn 1 Question

   comparing slopes and intercepts
   instruction active
   comparing y-intercepts
   pare the linear functions. which function has the largest y-intercept?
   (here are some tables and graphs, but the text part is as above)

   Turn 2 Question

   ?

   Turn 3 Question

   Which one

2. Response

   Turn 1 Answer

3. Explanation

   Step1: Find y-intercept of Table 1

   Use linear form $y=mx+b$. Substitute $x=-4,y=-1$ and $x=-2,y=0.5$:
   First find slope $m=\frac{0.5-(-1)}{-2-(-4)}=\frac{1.5}{2}=0.75$.
   Substitute $m=0.75, x=-4,y=-1$ into $y=mx+b$:
   $-1=(0.75)(-4)+b \implies -1=-3+b \implies b=2$

   Step2: Find y-intercept of Graph 1

   The line crosses y-axis at $(0,-2)$, so $b=-2$.

   Step3: Find y-intercept of Graph 2

   The line crosses y-axis at $(0,-3)$, so $b=-3$.

   Step4: Find y-intercept of Table 2

   Use linear form $y=mx+b$. Substitute $x=-6,y=-2$ and $x=-4,y=-3$:
   First find slope $m=\frac{-3-(-2)}{-4-(-6)}=\frac{-1}{2}=-0.5$.
   Substitute $m=-0.5, x=-6,y=-2$ into $y=mx+b$:
   $-2=(-0.5)(-6)+b \implies -2=3+b \implies b=-5$

   Step5: Compare all y-intercepts

   The y-intercepts are $2, -2, -3, -5$.

4. Final answer

   The first linear function (the leftmost table) has the largest y-intercept, which is 2.

   Turn 2 Answer

   Oops, did I overcomplicate it? Let me break it down super simply:

   1. The first table (leftmost) has a y-intercept of 2.
   2. The first graph crosses the y-axis at -2.
   3. The second graph crosses the y-axis at -3.
   4. The last table has a y-intercept of -5.

   So the biggest number here is 2, which belongs to that first table of values! 😊

   Turn 3 Answer

   Oh right, the first one—the table on the far left! Its y-intercept is 2, which is way bigger than the others (-2, -3, and -5). That’s the largest by a mile. 😊

Réponse

Question Analysis

OCR Text

Which one

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