Respuesta :

For this case we have that by definition, the slope of a line is given by:

[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]

Where:

[tex](x_ {1}, y_ {1})[/tex] and[tex](x_ {2}, y_ {2})[/tex] are two points through which the line passes.

According to the statement we have:

[tex](x_ {1}, y_ {1}) :( 5, -5)\\(x_ {2}, y_ {2}): (7,3)[/tex]

Substituting we have:

[tex]m = \frac {3 - (- 5)} {7-5} = \frac {3 + 5} {2} = \frac {8} {2} = 4[/tex]

Thus, the slope of a line that passes through the given points is: [tex]m = 4[/tex]

Answer:

[tex]m = 4[/tex]

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