Answer: -5x+y=6
Step-by-step explanation:
Given
Points on line [tex](-1,1)\ \text{and}\ (0,6)[/tex]
The standard form of an equation is [tex]ax+by=c[/tex]
Using the two-point form of a line
[tex]\Rightarrow \dfrac{y-1}{x+1}=\dfrac{6-1}{0+1}\\\Rightarrow \dfrac{y-1}{x+1}=\dfrac{5}{1}\\\Rightarrow y-1=5x+5\\\Rightarrow y-5x=6\\\Rightarrow -5x+y=6[/tex]
