Answer:
Option B - The slope of the line represented by this table is 2 and the y-intercept is 7.
Step-by-step explanation:
Given : The ordered pair below represent a linear relation below x and y.
(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)
The slope form is ![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
where m is the slope of line and c is the y-intercept.
or to find slope between two points are ![m=\frac{y-y_1}{x-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By-y_1%7D%7Bx-x_1%7D)
Since they are ordered pairs so, there slopes were same
Let take points (-3,1), (-2,3)
![m=\frac{y-y_1}{x-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By-y_1%7D%7Bx-x_1%7D)
![m=\frac{3-1}{-2-(-3)}=\frac{2}{1}=2](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3-1%7D%7B-2-%28-3%29%7D%3D%5Cfrac%7B2%7D%7B1%7D%3D2)
Therefore, the slope of the given linear function is 2
Now, we have to find y intercept we put in slope form
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
![y=2x+c](https://tex.z-dn.net/?f=y%3D2x%2Bc)
Given pairs are ordered therefore, they satisfy the above equation so let point (-2,3)
![3=2(-2)+c](https://tex.z-dn.net/?f=3%3D2%28-2%29%2Bc)
![c=3+4=7](https://tex.z-dn.net/?f=c%3D3%2B4%3D7)
So, slope of the line is 2 and y-intercept is 7.
Therefore, Option B is correct.