what is the slope of the blue line?what is the slope of a parallel line?

To find the slope (m) of a line given two points (x1, y1) and (x2, y2), we can use the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Points (-3,2) and (0,-2) lies on the blue line, then its slope is:
[tex]m_1=\frac{-2-2}{0-(-3)}=-\frac{4}{3}[/tex]Two lines are parallel if they have the same slope. Then,
Original slope: -4/3
Parallel slope: -4/3