Answer:
The slope is [tex]\frac{5}{2}[/tex] (5/2)
Step-by-step explanation:
Key skills needed: Subtraction, Division, Slope Formula
1) So to find the slope here, we use the slope formula.
Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]
To find the slope you do: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
2) So in this case, the 2 points are (-1,-2) and (1,3)
3) We can use the slope formula to find the slope
- -1 is [tex]x_1[/tex]
- -2 is [tex]y_1[/tex]
- 1 is [tex]x_2[/tex]
- 3 is [tex]y_2[/tex]
Now we do [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
This would be: [tex]\frac{3-(-2)}{1-(-1)}[/tex]
If you are subtracting -2, that means you add 2. If you are subtracting -1, then that means you add 1.
This means ---> [tex]\frac{3+2}{1+1}[/tex]
3+2 is 5, and 1+1 is 2 so your slope would be [tex]\frac{5}{2}[/tex] (5/2)
Hope you understood and have a nice day!! :D
