Answer:
The slope of the linear function is 2
Step-by-step explanation:
Calculating 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 table shows four points: (-3,2), (-1,6), (1,10), and (3,14). To find the slope on the line passing through them we only need two, for example (-3,2), (-1,6):
[tex]\displaystyle m=\frac{6-2}{-1+3}[/tex]
[tex]\displaystyle m=\frac{4}{2}=2[/tex]
Any other pair of points should give the very same value for the slope. Use (1,10), and (3,14):
[tex]\displaystyle m=\frac{14-10}{3-1}[/tex]
[tex]\displaystyle m=\frac{4}{2}=2[/tex]
Thus, the slope of the linear function is 2
