Answer
Slope Intercept Form: $y=x+1$
Standard Form: $-x+y=1$
Work Step by Step
Points: $(4,5)$ and $(10,11)$
Use the Slope Formula: $\frac{11-5}{10-4}= \frac{6}{6}$
Use Point Slope Formula: $y-5= 1(x-4)$
Simplify: $y=1(x-4)+5$
$y=x-4+5$
$y=x+1$
Convert to Standard Form: $-x+y=1$