Answer:
y = - 8x + 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange y + 8x = 4 into this form
Subtract 8x from both sides
y = - 8x + 4 ← in slope- intercept form
with slope m = - 8
Parallel lines have equal slopes, thus
y = - 8x + c ← is the partial equation
To find c substitute (3, 4) into the partial equation
4 = - 24 + c ⇒ c = 4 + 24 = 28
y = - 8x + 28 ← equation of line
