Answer:
Slope = -2
Step-by-step explanation:
Given:
The points on the line are given as:
[tex](x_1,y_1)=(-3,3)\\\\(x_2,y_2)=(1,-5)[/tex]
The slope of a line passing through points is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the given values and solve for slope, 'm'. This gives,
[tex]m=\frac{-5-3}{1-(-3)}\\\\m=\frac{-8}{1+3}\\\\m=\frac{-8}{4}\\\\m=-2[/tex]
Therefore, the slope of the line given in the graph is -2. So, the last option is correct.
