Answer:
Graph B is different from the others.
Equation for Graph A, C, and D is
.
Equation of Graph B is ![y = 5.5x](https://tex.z-dn.net/?f=%20y%20%3D%205.5x%20)
Step-by-step explanation:
The equation of each line can be written as
, where m is the slope.
Using each point given in each graph, we can find m and also an equation for each graph:
✍️Graph A Equation and slope:
Using the point given, (0.8, 4), the slope, m, can be calculated as,
![m = \frac{y}{x} = \frac{4}{0.8} = 5](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7By%7D%7Bx%7D%20%3D%20%5Cfrac%7B4%7D%7B0.8%7D%20%3D%205%20)
Substitute m = 5 into
.
✅Equation for graph A would be
.
✍️Graph B Equation and slope:
Using the point given, (10, 55), the slope, m, can be calculated as,
![m = \frac{y}{x} = \frac{55}{10} = 5.5](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7By%7D%7Bx%7D%20%3D%20%5Cfrac%7B55%7D%7B10%7D%20%3D%205.5%20)
Substitute m = 5.5 into
.
❌Equation for graph B would be
.
✍️Graph C Equation and slope:
Using the point given, (4, 20), the slope, m, can be calculated as,
![m = \frac{y}{x} = \frac{20}{4} = 5](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7By%7D%7Bx%7D%20%3D%20%5Cfrac%7B20%7D%7B4%7D%20%3D%205%20)
Substitute m = 5 into
.
✅Equation for graph C would be
.
✍️Graph D Equation and slope:
Using the point given, (10, 50), the slope, m, can be calculated as,
![m = \frac{y}{x} = \frac{4}{0.8} = 5](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7By%7D%7Bx%7D%20%3D%20%5Cfrac%7B4%7D%7B0.8%7D%20%3D%205%20)
Substitute m = 5 into
.
✅Equation for graph D would be
.
Equation for Graph A, C, and D is
.
Equation of Graph B is ![y = 5.5x](https://tex.z-dn.net/?f=%20y%20%3D%205.5x%20)