Answer:
The general equation of the lines that are perpendicular is:
[tex]y=-x+b[/tex]
b can by any number.
Step-by-step explanation:
The equation of a line is given by:
[tex]y=mx+a[/tex]
where m is the slope and b is the intercept
The equation of a perpendicular line to the previuos one is:
[tex]y=- \frac{1}{m} x+b[/tex]
That means that the slope of a perpendicular line is inverse and sign opposite to the other line.
Hence, the equation given is:
[tex] y - 1 = 1(x+2) \\ y=x+2+1 \\ y=x+3 [/tex]
m would be:
m=1
So the perpendicular slope would be:
[tex]- \frac{1}{m}=- \frac{1}{1} =-1[/tex]
The general equation of the lines that are perpendicular to y=x+3 is:
[tex]y=-x+b[/tex]
b can be any number
In attached picture:
y=x+3 is the red line
y=-x+b is the blue line
