The formula for the slope m of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex] is:
[tex]\text{Slope} = m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The two points we are given are (0,4) and (-8,-1):
- [tex](x_1,y_1)=(-8,-1)[/tex]
- [tex](x_2,y_2)=(0,4)[/tex]
Substitute these values into the formula for slope:
[tex]\text{Slope}=\dfrac{4-(-1)}{0-(-8)}[/tex]
Simplifying this gives us:
[tex]=\dfrac{5}8}[/tex]
Thus, the answer is the 3rd answer choice. Let me know if you need any clarifications, thanks!
~ Padoru
