Respuesta :
The slope of the line passing through the given points is [tex]\frac{4}{3}[/tex].
Step-by-step explanation:
Given,
Two points are (-20, -16) and (7,20)
To find the slope of the line passing through these points.
Formula
The slope of a line passing through the points ([tex]x_{1} ,y_{1}[/tex]) and ([tex]x_{2} ,y_{2}[/tex]) is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Now, Putting [tex]x_{1} =-20, y_{1}=-16, x_{2}=7, y_{2}=20[/tex] we get,
Slope = [tex]\frac{20+16}{7+20}[/tex] = [tex]\frac{36}{27}[/tex] = [tex]\frac{4}{3}[/tex]