If a line passes through the points (1, 2) and (3, 6), what is the slope of the
Practice Questions
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If a line passes through the points (1, 2) and (3, 6), what is the slope of the line?
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Questions & Step-by-Step Solutions
If a line passes through the points (1, 2) and (3, 6), what is the slope of the line?
Step 1: Identify the coordinates of the two points. The first point is (1, 2) and the second point is (3, 6).
Step 2: Write down the formula for slope, which is m = (y2 - y1) / (x2 - x1).
Step 3: Assign the values from the points to the formula. Here, (x1, y1) = (1, 2) and (x2, y2) = (3, 6).
Step 4: Substitute the values into the formula: m = (6 - 2) / (3 - 1).
Step 5: Calculate the difference in y-coordinates: 6 - 2 = 4.
Step 6: Calculate the difference in x-coordinates: 3 - 1 = 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 is 2.
Slope of a Line – The slope of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), which represents the change in y over the change in x between two points.
