Solving for the Slope of the Line given the Graph
Answer:
[tex]\frac{6}{5}\\[/tex]
Step-by-step Explanation:
If you have the points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], on the line, you can solve for its slope. The slope of the is calculated by [tex]m = \frac{y_2 -y_1}{x_2 -x_1}\\[/tex].
In your graph, We can see that the points, [tex](-2,-3)[/tex] and [tex](3,3)[/tex], are on the line. We can now solve for the slope.
[tex]m = \frac{3 -(-3)}{3 -(-2)} \\ m = \frac{3 +3}{3 +2} \\ m = \frac{6}{5}[/tex]
The slope of the line given by your graph is [tex]\frac{6}{5}\\[/tex].
