Answer:
[tex]\displaystyle m=\frac{3}{2}[/tex]
Step-by-step explanation:
The slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The points are (-9,3) and (3,21), thus:
[tex]\displaystyle m=\frac{21-3}{3+9}[/tex]
[tex]\displaystyle m=\frac{18}{12}[/tex]
Simplifying by 6:
[tex]\mathbf{\displaystyle m=\frac{3}{2}}[/tex]
