Answer:
Option (b) is correct.
The slope of line shown in given graph is [tex]\frac{9}{7}[/tex]
Step-by-step explanation:
Given: A graph with an equation of line having two points (1,6) and (-6, -3)
We have to find the slope of the given line in graph and choose the correct from the given options.
Consider the two points (1,6) and (-6, -3).
Slope between two points can be calculated using the formula as,
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here, [tex]\left(x_1,\:y_1\right)=\left(1,\:6\right),\:\left(x_2,\:y_2\right)=\left(-6,\:-3\right)[/tex]
Thus, Slope is
[tex]m=\frac{-3-6}{-6-1}=\frac{9}{7}[/tex]
Thus, The slope of line shown in given graph is [tex]\frac{9}{7}[/tex]
