Question

Determine the slope of the line between (2,3) and (4,0)

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given points

`(2,3)\text{ }and\text{ }(4,0)`

STEP 2: Find the slope of the points

`\begin{gathered} \mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=(y_2-y_1)/(x_2-x_1) \\ \left(x_1,\:y_1\right)=\left(2,\:3\right),\:\left(x_2,\:y_2\right)=\left(4,\:0\right) \\ m=(0-3)/(4-2) \\ m=-(3)/(2) \end{gathered}`

Hence, the slope of the line is -3/2