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]