Instructions: Find the slope of the line through the pair of points. Use the forward slash (i.e. "/") for all fractions (e.g. -1/2 is the same as −12−12). Make sure to reduce all fractions.Points: (10,14)(−6,20)(10,14)(−6,20)Slope:
Question
Instructions: Find the slope of the line through the pair of points. Use the forward slash (i.e. "/") for all fractions (e.g. -1/2 is the same as −12−12). Make sure to reduce all fractions.Points: (10,14)(−6,20)(10,14)(−6,20)Slope:
Solution
The slope of a line through two points (x1, y1) and (x2, y2) can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
Here, the two points given are (10,14) and (-6,20). So, x1 = 10, y1 = 14, x2 = -6, and y2 = 20.
Substituting these values into the formula, we get:
slope = (20 - 14) / (-6 - 10)
This simplifies to:
slope = 6 / -16
We can reduce this fraction by dividing both the numerator and the denominator by 2:
slope = 3 / -8
So, the slope of the line through the points (10,14) and (-6,20) is -3/8.
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