What is the equation of the line that is
parallel to line ab
and passes through the point (2, -1)

Step-by-step explanation:

When two lines are parallel means that their slopes are equal. Therefore the line AB will have same slope to a parallel second line, .

To obtain the slope from the line AB, we need two points, so the general equation will be:

The typical equation of a line is written as y = mx + b

The second line will pass through point (2, -1), so we can substitute:

y2 = mX2 + b

-1 = (2) + b

then the interception is

Now to obtain a general equation for the second parallel line will be:

y =   X + b

y =   X - (2)-1

Finally we get:

y =   (x-2)-1

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.