Parallel means "same slope" so the first thing needed to solve is to find the slope of -x - 8y = 3. The easiest way to do this is to put it into slope-intercept form (y = mx + b).
- x - 8y = 3
- 8y = x + 3 Add "x" to both sides
y = [tex] \frac{-1}{8}x[/tex] + 3 Divide both sides by "-8"
Slope = [tex] \frac{-1}{8}[/tex]
Next, input the slope and point into the point-slope form (y - y1 = m(x - x1))
y - 4 = [tex] \frac{-1}{8}[/tex](x + 1)
y - 4 = [tex] \frac{-1}{8}x[/tex] - [tex] \frac{1}{8}[/tex]
y = [tex] \frac{-1}{8}x[/tex] - [tex] \frac{1}{8}[/tex] + 4
y = [tex] \frac{-1}{8}x[/tex] + [tex] \frac{31}{8}[/tex]
