a line passes through the points in this table.\n| x | y |\n| -6 | -25 |\n| -4 | -15 |\n| -1 | 0 |\n| 2 | 15…

a line passes through the points in this table.\n| x | y |\n| -6 | -25 |\n| -4 | -15 |\n| -1 | 0 |\n| 2 | 15 |\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| -6 | -25 |\n| -4 | -15 |\n| -1 | 0 |\n| 2 | 15 |\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 ( (-6, -25) ) and ( (-4, -15) ). Here, ( x_1 = -6 ), ( y_1 = -25 ), ( x_2 = -4 ), ( y_2 = -15 ).

Step3: Calculate slope

Substitute into the formula: ( m = \frac{-15 - (-25)}{-4 - (-6)} = \frac{-15 + 25}{-4 + 6} = \frac{10}{2} = 5 ).

Answer:

( 5 )