Answer:
y = -2x - 15
Step-by-step explanation:
We are asked to find the equation of a line parallel to 4y + 8x = 8
Step 1: find the slope
4y + 8x = 8
4y = 8 - 8x
Divide both sides by 4, to get y
4y/4 =( 8 - 8x)/4
y = (8 - 8x)/4
We can rewrite it
y =( -8x + 8)/4
y = mx + c
Separate it to get the slope
y = -8x/4 + 8/4
y = -2x + 2
Slope m = -2
Step 2: using
y - y_1 = m(x - x_1)
Substitute m = -2 into the equation
y - y_1 = -2(x - x_1)
Step 3: substitute the point into the equation
( -8,1)
x_1 = -8
y_1= 1
y - 1 = -2(x - (-8)
y - 1 = -2(x + 8)
Open the bracket
y - 1 = -2x - 16
y = -2x - 16 + 1
y = -2x - 15
Therefore the equation of the line is
y = -2x - 15
