Find the slope of the line passing through the points (2, 3) and (4, 7).

₹0.0

Question: Find the slope of the line passing through the points (2, 3) and (4, 7).

Options:

Correct Answer: 2

Solution:

The slope m is given by (y2 - y1) / (x2 - x1) = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Find the slope of the line passing through the points (2, 3) and (4, 7).

Find the slope of the line passing through the points (2, 3) and (4, 7).

Correct Answer: 2

Step 1: Identify the coordinates of the two points. The first point is (2, 3) and the second point is (4, 7).
Step 2: Label the coordinates. Let (x1, y1) = (2, 3) and (x2, y2) = (4, 7).
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 is 2.

Slope of a Line – The slope of a line measures its steepness and is calculated as the change in y divided by the change in x between two points.