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

ANSWER

$-\frac{3}{2}$

EXPLANATION

The slope of a line is given as:

$m=\frac{y_2-y_1}{x_2-x_1}$

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

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

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