What is the slope of the line passing through the points (2, 5) and (-3, 9)?*1 point4/55/4-4/5-5/4
Question
What is the slope of the line passing through the points (2, 5) and (-3, 9)?*1 point4/55/4-4/5-5/4
Solution 1
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Here, the two points are (2, 5) and (-3, 9). So, x1 = 2, y1 = 5, x2 = -3, and y2 = 9.
Substituting these values into the formula, we get:
m = (9 - 5) / (-3 - 2) = 4 / -5 = -4/5
So, the slope of the line passing through the points (2, 5) and (-3, 9) is -4/5.
Solution 2
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Here, the two points are (2, 5) and (-3, 9). So, x1 = 2, y1 = 5, x2 = -3, and y2 = 9.
Substituting these values into the formula, we get:
m = (9 - 5) / (-3 - 2) = 4 / -5 = -4/5
So, the slope of the line passing through the points (2, 5) and (-3, 9) is -4/5.
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