Question

What is the slope of the line that goes through (6, 5) and (3, 1)? A) 3/4 B) -3/4 C) 4/3 D) -4/3

Answer 1

We are given two points along the line on a coordinate plane.

The points are;

$\begin{gathered} (6,5) \\ (3,1) \end{gathered}$

The slope of a line where two points are given is derived by the formula;

$m=\frac{y_2-y_1_{}}{x_2-x_1}$

Where the variables are;

$\begin{gathered} (x_1,y_1)=(6,5) \\ (x_2,y_2)=(3,1) \end{gathered}$

The slope will now be;

$\begin{gathered} m=\frac{1-5}{3-6} \\ \end{gathered}$$m=\frac{-4}{-3}$$m=\frac{4}{3}$

Note that where two negative numbers divide each other the result will be a positive number.

ANSWER:

$\text{Slope}=\frac{4}{3}$