Question

Please help??
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Answer 1

Given:

Given that the graph of a line with coordinates (-3,2) and (0,-2)

We need to determine the slope of the line parallel to the given line.

Slope:

The slope of the line can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates (-3,2) and (0,-2), we have;

$m=\frac{-2-2}{0+3}$

Simplifying, we get;

$m=-\frac{4}{3}$

Thus, the slope of the given line is $m=-\frac{4}{3}$

Slope of the parallel line:

The parallel lines always have the same slope.

Thus, the slope of the parallel line is $m=-\frac{4}{3}$

Hence, the slope of the parallel line is $m=-\frac{4}{3}$

Therefore, Option c is the correct answer.