Answer:
y = -x/4 + 7
Step-by-step explanation:
Finding an equation
Given
Slope = -1/4
Point = ( -4 , 8)
Using a point slope form equation
y - y1 = m( x - x1)
( -4 , 8)
x1 = -4
y1 = 8
m = -1/4
Insert the values into the equation
y - 8 = -1/4( x - (-4)
y - 8 = -1/4( x + 4)
Open the bracket
y - 8 = -(x + 4)/4
y - 8 = (-x - 4)/4
y = (-x - 4)/4 + 8
LCM = 4
y = ( -x - 4) + 32 / 4
y = -x - 4 + 32 / 4
y = -x + 28 / 4
Separate 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
