Answer:
[tex]-\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given two points (-9,-6) and (3,-9). The slope of the line through the points is determined by the formula:
[tex]Slope, m=\dfrac{y_2-y_1}{x_2-x_1} ,$ where (x_1,y_1)=(-9,-6), (x_2,y_2)=(3,-9)\\$Therefore:\\ m=\dfrac{-9-(-6)}{3-(-9)}\\=\dfrac{-9+6}{3+9}\\=\dfrac{-3}{12}\\\\m=-\dfrac{1}{4}\\[/tex]
The slope of the line through the points (-9,-6) and (3,-9) is [tex]-\dfrac{1}{4}[/tex]
Answer:
the slope of the line through the points (-9,-6) and (3,-9) is [tex]-\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given that,
Points (x₁ , y₁) is (-9,-6) respectively and
( x₂ , y₂) is (3,-9) respectively.
The slope of the line through the points is determined by the formula:
[tex]Slope, m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where x₁ = -9
y₁ = -6
x₂ = 3
y₂ = -9
Therefore:
[tex]\\ m=\dfrac{-9-(-6)}{3-(-9)}\\=\dfrac{-9+6}{3+9}\\=\dfrac{-3}{12}\\\\m=-\dfrac{1}{4}\\[/tex]
Therefore, the slope of the line through the points (-9,-6) and (3,-9) is [tex]-\dfrac{1}{4}[/tex]
