Find an equation for the line in the form ax + by c. where a. b. and c are integers with no factor common to all three and a 20. through (1. -6), perpendicular to x + y = 2 the equation of the line is (type an equation)

The standard form of required line is x-y=7.

Step-by-step explanation:

The standard form of a line is

Where, a,b,c are integers with no factor common to all three and a≥0.

The give equation of line is

Here a=1 and b=1.

The slope of a standard line is

The product of slops of two perpendicular lines is -1.

The slope of required line is 1.

The point slope form of a line is

Where, m is slope.

The slope of required line is 1 and it passes through the point (1,-6). So, the equation of required line is

Add 1 on each side.

Subtract y from both the sides.

Therefore the standard form of required line is x-y=7.