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=(y_2-y_1)/(x_2-x_1)`

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

`m=(-2-2)/(0+3)`

Simplifying, we get;

`m=-(4)/(3)`

Thus, the slope of the given line is
`m=-(4)/(3)`

Slope of the parallel line:

The parallel lines always have the same slope.

Thus, the slope of the parallel line is
`m=-(4)/(3)`

Hence, the slope of the parallel line is
`m=-(4)/(3)`

Therefore, Option c is the correct answer.