Slope Intercept Line Equation:
y = mx + b
m is slope and b is y-intercept
Given Line: y = 8x + 4
slope (m) is 8 (coefficient of x)
Parallel lines have the same slope, so slope (m) of our parallel line will also be 8.
Given point our parallel line is to pass thru is (-1,3), where x is -1 and y =3.
Plugging these values into our slope-intercept equation (y = mx + b), we get:
3 = 8(-1) + b
Solving for b:
3 = -8 + b
b = 3 + 8 = 11
So our final equation is:
y = 8x + 11