The equation for line j can be written as y = 2x + 8. Another line k is perpendicular to line j and passes through the point (6, -6). Choose the equation for line k.
Slope Intercept: y = mx + b
Point slope: (Y - Y1 ) = m (X - X1 )
A y =
1
2 – 3
2
1
y = - 2 - 3
2
B
y = -2x – 3
3
y=- 2 + 3
2

Step-by-step explanation:

we are given that,

and it's perpendicular to

since is perpendicular to the slope of the equation of k has to be -½

because we know that

we are also given a point where the perpendicular line passes as we got the slope and a point we can consider using point-slope form of linear equation to figure out the perpendicular line

remember the point slope form

we got that, y1=-6,x1=6 and m=-½ thus,

substitute:

remove parentheses:

distribute:

cancel 6 from both sides:

hence, the equation of line k is y=-½x-3