Answer:
Therefore the slope of the line shown on the graph is option D)
[tex]-\dfrac{2}{3}[/tex]
Step-by-step explanation:
Given:
Let the Two points on the line be
point A( x₁ , y₁) ≡ ( 0 , 0) one as a Origin
point B( x₂ , y₂) ≡ (-3, 2)
To Find:
Slope AB = ?
Solution:
For a slope we require two points i.e
[tex]Slope=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Substituting the given values we get
[tex]Slope(AB)=\frac{2-0}{-3-0}\\\\Slope(AB)=-\dfrac{2}{3}[/tex]
Therefore the slope of the line shown on the graph is option D)
[tex]-\dfrac{2}{3}[/tex]
