Respuesta :

Answer:

4/11

Step-by-step explanation:

(6-2)/(4+7)

= 4/11

The slope of the line (-7,2) and (4,6) is m = 4/11.

What is the slope of the line?

  • The measure of the steepness of the line is known as the slope(m).
  • The formula to find the slope is [tex]m = \frac{(y_{2}-y_{1}) }{(x_{2} -x_{1} )}[/tex].  where the [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are the coordinates.

The slope of the line:

The coordinates of the slope of the line (-7,2) and (4,6)

Let,

[tex](x_{1},y_{1}) = (-7,2)[/tex]

[tex](x_{2},y_{2}) = (4,6)[/tex]

The slope of the line is [tex]m = \frac{(y_{2}-y_{1}) }{(x_{2} -x_{1} )}[/tex]

Substitute the coordinates in the equation of slope,

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

m = (6-2)/(4-(-7)

m = 4/11

Hence, the slope of the line (-7,2) and (4,6) is m = 4/11.

Learn more about slopes at https://brainly.com/question/5832667

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