Answer:
y = (1/2)x - 5 . . . . . . matches the first selection
Explanation:
The slope of the given line is the coefficient of x, -2. The slope of the perpendicular line will be the opposite reciprocal of that:
... -1/(-2) = 1/2
This will be the coefficient of x in the equation you're to write. You will note there is only one answer choice that has this value:
... y = (1/2)x -5
_____
You can make sure this is correct by checking the point in the equation. Substitute the values of x and y into the equation:
... -2 = (1/2)(6) -5 = 3 -5 = -2 . . . . . the given point is on this line
