Answer:
y = -x - 4
Step-by-step explanation:
Step 1: find slope
y = x + 6
Slope m = 1
y = mx + c
The coefficient of x is the slope
Step 2 : substitute m into the point slope form equation
Note : if two lines are perpendicular to the other, the lines are negative reciprocal of each other
m = - 1
y - y1 = m( x - x1)
y - y1 = -1(x - x1)
Step 3: sub the point
( 2 , -6)
x1 = 2
y1 = -6
y - (-6) = -1( x - 2)
y + 6 = -1(x - 2)
Open the bracket
y + 6 = -x + 2
y = -x + 2 - 6
y = -x - 4
The equation of a line is
y = -x - 4
