If the coordinates of points D and E are (2, 3) and (4, 7) respectively, what is
Practice Questions
Q1
If the coordinates of points D and E are (2, 3) and (4, 7) respectively, what is the slope of the line DE?
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Questions & Step-by-Step Solutions
If the coordinates of points D and E are (2, 3) and (4, 7) respectively, what is the slope of the line DE?
Step 1: Identify the coordinates of points D and E. D is (2, 3) and E is (4, 7).
Step 2: Label the coordinates. Let (x1, y1) = (2, 3) for point D and (x2, y2) = (4, 7) for point E.
Step 3: Use the slope formula, which is m = (y2 - y1) / (x2 - x1).
Step 4: Substitute the values into the formula: m = (7 - 3) / (4 - 2).
Step 5: Calculate the difference in y-coordinates: 7 - 3 = 4.
Step 6: Calculate the difference in x-coordinates: 4 - 2 = 2.
Step 7: Now substitute these results back into the formula: m = 4 / 2.
Step 8: Simplify the fraction: 4 / 2 = 2.
Step 9: The slope of the line DE is 2.
Slope of a Line – The slope of a line is a measure of its steepness, calculated as the change in y-coordinates divided by the change in x-coordinates between two points.
