Question

What is the slope of the line containing ( -3, 4 ) ( 1, -2 ) ? A. 3/2 B. 2/3 C. -3/2D. -2/3

Answer 1

`-(3)/(2)`

Step-by-step explanation

The slope of a line is given as:

`m=(y_2-y_1)/(x_2-x_1)`

where (x₁, y₁) and (x₂, y₂) are the two points on the line.

Therefore, we have that the slope of the line is:

`\begin{gathered} m=(-2-4)/(1-(-3))=(-2-4)/(1+3) \\ m=(-6)/(4) \\ m=-(3)/(2) \end{gathered}`