Answer:
The slope of graph is [tex]\mathbf{\frac{3}{2}}[/tex]
Option C is correct option.
Step-by-step explanation:
We need to find the slope (rate of change) of the graph
The formula to calculate slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Taking two points from the graph: (You can take any two points from the graph)
Point 1 (-4,-3)
Point 2 (-2,0)
We have: [tex]x_1=-4, y_1=-3, x_2=-2, y_2=0[/tex]
Putting values in the formula and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-(-3)}{-2-(-4)} \\Slope=\frac{0+3}{-2+4} \\Slope=\frac{3}{2}[/tex]
So, the slope of graph is [tex]\mathbf{\frac{3}{2}}[/tex]
Option C is correct option.
