Respuesta :

Answer:

Option D is correct

Slope of the line through given points is -\frac{5}{7}[/tex]

Step-by-step explanation:

Given the points:

[tex](-4, 2)[/tex] and [tex](3, -3)[/tex]

Formula for slope:

[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the given values we have;

[tex]\text{Slope} = \frac{-3-2}{3-(-4)} =-\frac{5}{7}[/tex]

Therefore, the slope of the line through [tex](-4, 2)[/tex] and [tex](3, -3)[/tex] is,

[tex]-\frac{5}{7}[/tex]