Question

a line passes through the points in this table. x y 44 63 46 43 48 23 50 3 what is the slope of the line? write your answer as an integer or simplified fraction. save answer

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Choose two points

Take two points from the table, e.g., \((44, 63)\) and \((46, 43)\).

Step3: Substitute into formula

\( x_1 = 44, y_1 = 63, x_2 = 46, y_2 = 43 \).
\( m=\frac{43 - 63}{46 - 44}=\frac{-20}{2}=-10 \).
(Verify with other points, e.g., \((46, 43)\) and \((48, 23)\): \( \frac{23 - 43}{48 - 46}=\frac{-20}{2}=-10 \), consistent.)

Answer:

\(-10\)