Answer: y = 4x - 28
Explanation:
It is given that parallel lines have the same slope. This line is given to us in slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept.
We will create an equation of a parallel line by taking the slope given by the equation and the given coordinate point. We will create a point-slope form equation, then we will transform it into a slope-intercept form equation by isolating y.
Given;
y - y1 = m(x - x1)
Substitute known values:
y - 4 = 4(x - 8)
Distribute:
y - 4 = 4x - 32
Add 4 to both sides of the equation:
y = 4x - 28