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=(1-5)/(3-6) \\ \end{gathered}`
`m=(-4)/(-3)`
`m=(4)/(3)`

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

ANSWER:

`\text{Slope}=(4)/(3)`