Soluzione - Trovare una linea parallela usando la modalità di intercettazione della pendenza

Plug the coordinates of the point $$\left(x,y\right)$$ and the slope $$\left(m\right)$$ into the line intercept form, $$y=mx+b$$ and solve for $$b$$:

$$x=6$$
$$y=6$$
$$m=8$$

$$y=mx+b$$

$$6=8·6+b$$

$$6=48+b$$

$$6-48=b$$

$$-42=b$$

$$b=-42$$

plug $$m$$ and $$b$$ into the slope-intercept form, $$y=mx+b$$ :

$$m=8$$
$$b=-42$$
$$y=8x-42$$

The equation of the parallel line is $$y=8x-42$$