What is the slope of the line that passes through the points (-5, 10) and (10, 4)?
−5/2
−2/5
2/5
5/2
What is the slope of the line that passes through the points (-5, 10) and (10, 4)
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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.