Respuesta :

Answer: [tex]\frac{13}{3}[/tex]

Step-by-step explanation:

Slope of a line can be determined by dividing the differences between Y coordinates and X coordinates of two given points. i.e,

Slope of a line = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}  }[/tex]

Given,

[tex]x_{1} = -7[/tex]  and  [tex]y_{1} = 5[/tex]

[tex]x_{2} = -4[/tex] and [tex]y_{2} = 18[/tex]

Now, by substituting the values in above formula, we get:

Slope of a line = [tex]\frac{18-5}{-4-(-7)}[/tex]

                         = [tex]\frac{13}{3}[/tex]

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