Question

a line passes through the points in this table.

x	y
46	43
48	23
50	3

what is the slope of the line?
write your answer as an integer or simplified fraction.

Explanation:

Step1: Recall slope formula

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

Step2: Choose two points

Let's take the first two points \((44, 63)\) and \((46, 43)\). Here, \( x_1 = 44 \), \( y_1 = 63 \), \( x_2 = 46 \), \( y_2 = 43 \).

Step3: Calculate the slope

Substitute into the formula: \( m=\frac{43 - 63}{46 - 44}=\frac{-20}{2}=-10 \). We can verify with other points (e.g., \((46,43)\) and \((48,23)\)): \( \frac{23 - 43}{48 - 46}=\frac{-20}{2}=-10 \), which confirms the slope.

Answer:

\(-10\)