Answer:
![y=x+1](https://img.qammunity.org/2023/formulas/mathematics/high-school/uhns5odfpgvlt738mqmwmg0fdu3agb2fy2.png)
Explanation:
To find the slope, we find the change in y over the change in x:
![(22-16)/(21-15)](https://img.qammunity.org/2023/formulas/mathematics/high-school/m0ihj6w3s9vuj0ajmo3erxuqbgbnu2i5gy.png)
We'll get:
![(6)/(6)=1](https://img.qammunity.org/2023/formulas/mathematics/high-school/tiev701jmypqsk0vf46lv0ii2snv69j03x.png)
We can substitute a pair of points to find the y intercept. Let's use (15, 16). In this case, x is the y-intercept.
![16=15+x\\x=1](https://img.qammunity.org/2023/formulas/mathematics/high-school/uap5yus03l8cbofo1nsb5ct7hdujhl9cps.png)
Because both the slope and y-intercept are 1, the equation will be:
![y=x+1](https://img.qammunity.org/2023/formulas/mathematics/high-school/uhns5odfpgvlt738mqmwmg0fdu3agb2fy2.png)