Respuesta :

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

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