A perpendicular line has the negative reciprocal slope of the given line.
The slope of the given line is x/2, which can be written as 1/2x
The negative reciprocal of 1/2 would be -2
The equation for a line is written as y = mx +b, where m is the slope and b is the y-intercept.
We already have the slope ( -2)
So we can solve for b by replacing y x and m with the slope and the point given:
8 = -2(1) +b
8 = -2 + b
b = 10
The equation would be y = -2x + 10
