the points in the table lie on a line. find the slope of the line.\nthe slope of the line is

Explanation:

Step1: Select two points

Select two points from the table, say ((x_1,y_1)=(1,2)) and ((x_2,y_2)=(3,10)).

Step2: Use the slope formula

The slope formula is (m = \frac{y_2 - y_1}{x_2 - x_1}). Substitute the values: (m=\frac{10 - 2}{3 - 1}).

Step3: Calculate the numerator and denominator

(10−2 = 8) and (3−1=2). So (m=\frac{8}{2}).

Step4: Simplify the fraction

(\frac{8}{2}=4).

Answer:

(4)