a line passes through the points in this table.\n| x | y |\n|----|----|\n| 44 | 63 |\n| 46 | 43 |\n| 48 | 23…

a line passes through the points in this table.\n| x | y |\n|----|----|\n| 44 | 63 |\n| 46 | 43 |\n| 48 | 23 |\n| 50 | 3 |\nwhat is the slope of the line?\nwrite your answer as an integer or simplified fraction.

a line passes through the points in this table.\n| x | y |\n|----|----|\n| 44 | 63 |\n| 46 | 43 |\n| 48 | 23 |\n| 50 | 3 |\nwhat is the slope of the line?\nwrite your answer as an integer or simplified fraction.

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

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 ), and ((48,23)) and ((50,3)): ( \frac{3 - 23}{50 - 48}=\frac{-20}{2}=-10 ).

Answer:

(-10)