Answer:
y = x/4 + 7
Step-by-step explanation:
Step1: find the slope
y = -4x + 8
Slope is the coefficient of x
ie m = -4
Since the line is perpendicular,
Note that if two lines are perpendicular to the other, the lines are negative reciprocal of each other
m = 1/4
Step 2: using a point slope form equation
y - y1 = m( x - x1)
( -12 , 4)
x1 = -12
y1 = 4
y - 4 = 1/4( x -(-12)
y - 4 = 1/4( x + 12)
Step 2 : using the slope intercept form equation
y = mx + c
Open the bracket
y - 4 = ( x + 12)/4
y = ( x + 12)/ 4 + 4
LCM = 4
y = ( x + 12) + 16 / 4
y = x + 12 + 16 / 4
y = x + 28 / 4
We need to separate it to get the slope and the intercept
y = x/4 + 28/4
y = x/ 4 + 7
The equation of the line is
y = x/4 + 7
