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.
[tex]\text{Slope = }\frac{rise}{\text{run}}\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Name the coordinates (x, y).
( 3, 2 ) and ( 6, 6 )
From the coordinates
[tex]\begin{gathered} x_1=3_{} \\ y_1\text{ = 2} \\ x_2\text{ = 6} \\ y_2\text{ = 6} \end{gathered}[/tex]
Step 2: Substitute x1, x2, y1, and y2 in the equation to find the slope.
[tex]\begin{gathered} \text{Slope = }\frac{6\text{ - 2}}{6\text{ - 3}} \\ \text{Slope = }\frac{4}{3} \end{gathered}[/tex]
Step 3: Final answer
Slope = 4/3
