Find the slope of the line that passes through the points (0, 0) and (5, 5).

₹0.0

Question: Find the slope of the line that passes through the points (0, 0) and (5, 5).

Options:

Correct Answer: 1

Solution:

The slope m = (5 - 0) / (5 - 0) = 1.

Find the slope of the line that passes through the points (0, 0) and (5, 5).

Find the slope of the line that passes through the points (0, 0) and (5, 5).

Step 1: Identify the two points given. The points are (0, 0) and (5, 5).
Step 2: Write down the coordinates of the points. The first point (x1, y1) is (0, 0) and the second point (x2, y2) is (5, 5).
Step 3: Use the slope formula, which is m = (y2 - y1) / (x2 - x1).
Step 4: Substitute the values into the formula. Here, y2 = 5, y1 = 0, x2 = 5, and x1 = 0.
Step 5: Calculate the difference in y-coordinates: 5 - 0 = 5.
Step 6: Calculate the difference in x-coordinates: 5 - 0 = 5.
Step 7: Now, substitute these differences into the slope formula: m = 5 / 5.
Step 8: Simplify the fraction: 5 / 5 = 1.
Step 9: Therefore, the slope of the line is 1.

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