what is an equation of the line that passes through the point (6,6) and is parallel to the line 2x - y = 5?

Explanation:

Step1: Find the slope of the given line

Rewrite (2x - y=5) in slope - intercept form (y = mx + b). (y=2x - 5), so the slope (m = 2). Parallel lines have the same slope.

Step2: Use the point - slope form

The point - slope form is (y - y_1=m(x - x_1)), where ((x_1,y_1)=(6,6)) and (m = 2). (y - 6=2(x - 6))

Step3: Simplify the equation

Expand: (y - 6=2x-12) Add 6 to both sides: (y=2x - 6)

Answer:

(y = 2x-6)