Question

Find the slope of the ordered pairs in the photo

Answer 1

Concept

The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

`\text{Slope = }\frac{rise}{\text{run}}\text{ = }(y_2-y_1)/(x_2-x_1)`

Step 1: Name the coordinates (x, y).

( 3, 2 ) and ( 6, 6 )

From the coordinates

`\begin{gathered} x_1=3_{} \\ y_1\text{ = 2} \\ x_2\text{ = 6} \\ y_2\text{ = 6} \end{gathered}`

Step 2: Substitute x1, x2, y1, and y2 in the equation to find the slope.

`\begin{gathered} \text{Slope = }\frac{6\text{ - 2}}{6\text{ - 3}} \\ \text{Slope = }(4)/(3) \end{gathered}`

Step 3: Final answer

Slope = 4/3