Respuesta :

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]