The slope of the line that passes through (–3, 3) and (1, –5) is –2
Solution:
Given slope of the line passes through two points (–3, 3) and (1, –5).
Formula for the slope of the line passes through two points is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here, [tex]x_1=-3, x_2=1, y_1=3,y_2=-5[/tex]
Substitute these in the slope formula, we get
⇒ [tex]m=\frac{(-5)-3}{1-(-3)}[/tex]
⇒ [tex]m=\frac{-5-3}{1+3}[/tex]
⇒ [tex]m=\frac{-8}{4}[/tex]
⇒ [tex]m=-2[/tex]
Hence, the slope of the line that passes through (–3, 3) and (1, –5) is –2.
