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Answer :
Final answer:
The slope of the line through (-4, -2) and (3, -3) is -1/7.
Explanation:
To find the slope of a line, we use the formula m = (y2 - y1) / (x2 - x1). Given the points (-4, -2) and (3, -3), we can plug the values into the formula to get m = (-3 - (-2)) / (3 - (-4)) = -1/7. Therefore, the slope of the line is -1/7.
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The slope of the line passing through the points (-4, -2) and (3, -3) is -1/7, indicating a negative slope and a slight decrease in the y-values for each unit increase in x.
Recall the slope formula: The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Plug in the given points: In this case, we have:
x1 = -4, y1 = -2
x2 = 3, y2 = -3
Apply the formula: Substitute the values into the slope formula:
m = (-3 - (-2)) / (3 - (-4))
m = (-1) / (7)
m = -1/7
Therefore, the slope of the line through (-4, -2) and (3, -3) is -1/7.
The slope (m) between points (-4, -2) and (3, -3) is calculated using the formula: m = (-3 - (-2)) / (3 - (-4)). Simplifying, m = -1/7. Thus, the line's slope is -1/7.
Complete question:
What is the slope of the line through (-4, 2) and (3, -3)?
