Answer:
[tex]\displaystyle m=\frac{1}{2}[/tex]
Or, 1/2.
Step-by-step explanation:
To find the slope of a line that crosses any two given points, we can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) is our first point, and (x₂, y₂) is our second point.
We will let (6, -7) be our first point (x₁, y₁), and (4, -8) be our second point (x₂, y₂).
Substitute them into the formula. Hence:
[tex]\displaystyle m=\frac{(-8)-(-7)}{(4)-(6)}[/tex]
Simplify:
[tex]\displaystyle m=\frac{-8+7}{4-6}[/tex]
Evaluate. Hence, our slope is:
[tex]\displaystyle m=\frac{-1}{-2}=\frac{1}{2}[/tex]
