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

Explanation:

Step1: Select two points

Select two points from the table, say ((x_1,y_1)=(-6,8)) and ((x_2,y_2)=(-2,5)).

Step2: Use the slope formula

The slope formula is (m = \frac{y_2 - y_1}{x_2 - x_1}). Substitute the values: (m=\frac{5 - 8}{-2-(-6)}).

Step3: Simplify the numerator and denominator

Numerator: (5 - 8=-3). Denominator: (-2-(-6)=-2 + 6 = 4). So (m=\frac{-3}{4}).

Answer:

(-\frac{3}{4})