What is the slope of the line that passes through the points (-5, 10) and (10, 4)

To find the slope of the line that passes through the points (-5, 10) and (10, 4), we can use the formula for the slope (m) of a line, which is:

[ m = frac{y_2 – y_1}{x_2 – x_1} ]

Here, ((x_1, y_1) = (-5, 10)) and ((x_2, y_2) = (10, 4)).

1. Substituting the points into the formula:

[ m = frac{4 – 10}{10 – (-5)} ]

2. Simplifying the numerator and denominator:

[ m = frac{-6}{10 + 5} = frac{-6}{15} ]

3. Reducing the fraction:

[ m = frac{-2}{5} ]

So, the slope of the line is (-frac{2}{5}).

The correct answer is (-frac{2}{5}). Great job on working through this! If you have more questions, feel free to ask or check our extended services page for more help.