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 $$b$$:

$$x=-3$$
$$y=-3$$
$$m=\frac{10}{3}$$

$$y=mx+b$$

$$-3=\frac{10}{3}·-3+b$$

$$-3=-10+b$$

$$-3+10=b$$

$$7=b$$

$$b=7$$

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

$$m=\frac{10}{3}$$
$$b=7$$
$$y=\frac{10}{3}x+7$$

The equation of the parallel line is $$y=\frac{10}{3}x+7$$