Answer:
[tex]D) 2[/tex]
Step-by-step explanation:
The slope of a line is used to describe the average rate of change. Often referred to as the ([tex]\frac{rise}{run}[/tex]), the general formula to find the slope of a line is the following,
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are both points on the line. One is given that the following points are on the line,
[tex](-1, -5)\\\\(6, 9)[/tex]
Substitutes these values into the formula and solve for the slope,
[tex]\frac{9-(-5)}{6-(-1)}[/tex]
Simplify, remember negative times negative equals positive,
[tex]\frac{9+5}{6+1}[/tex]
Combine like terms,
[tex]\frac{14}{7}[/tex]
Simplify further, remember a fraction is another way of representing division,
[tex]2[/tex]