Write an equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2. y = 4x − 28 y = 4x + 28 y = 1 over 4x − 2 y = 1 over 4x + 2

y = 4x - 28 is the equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2. 

Find Slope :

y = 4x + 2
Slope = 4
Slope of the Parallel line = 4


Substitute slope = 4 :

y = mx + b 
y = 4x +b


Find y-intercept :

y = 4x + b 
At point (8, 4), x = 8 when y = 4
4 = 4(8) + b
4 + 32 + b
b = 4 - 32
b = -28


Substitute y-intercept into the equation :

y = 4x - 28


Answer : y = 4x - 28 (Answer A)