Respuesta :

w=3z+2 is the answer. Input the z values into the equation to figure out w.

jthao6

Answer: w = 3z + 2

Step-by-step explanation:

1) On the coordinate graph, we can see that the line starts on 2 on the y-axis.

2) Using the mx + b format and it's rules to apply to the line, mx is the growth and b is the starting point.

3) 2 is the starting point of the line. So we would insert 2 in place of b on the mx + b equation: mx + 2. This means that 2 should be in place of b in our answer because the line starts at 2 on the y-axis.

4) Now we have a partial part of our answer, which limits us to two answers:

  • w = 3z + 2
  • z = 2w + 2

What they have in common is that they both have 2 in the b place.

5) Now we have to look at the growth. On the coordinate graph, we can see that the line extends upwards 3 units up and move one unit to the right.

6) This concludes that the growth is \frac{3}{1} or 3. So out of our two answers,

  • w = 3z + 2
  • z = 2w + 2

One of them should have 3 in the m place.

7) We are left with w = 3z + 2, as it correlates with the growth and starting point of the line.

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