Answer:
-3/2
Step-by-step explanation:
The slope of a line is calculated by finding the rise over run of two points on the line. In this case, I use the points (-3, 4) and (1, -2). Then, I use the formula of [tex]\frac{y_{2} - y_{1}}{x_{2}- x_{1} }[/tex] to find the slope. If 4 is [tex]y_{2}[/tex], -3 is [tex]x_{2}[/tex], 1 is [tex]x_{1}[/tex] and -2 is [tex]y_{1}[/tex], then,
[tex]\frac{4 - (-2)}{ -3- 1 } = \frac{6}{-4} = \frac{3}{-2}[/tex]
Furthermore, the slope of a parallel line is always the same as the given line. Therefore, the answer is -3/2.
