If the coordinates of point A are (2, 3) and point B are (5, 7), what is the slo

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Question: If the coordinates of point A are (2, 3) and point B are (5, 7), what is the slope of line AB?

Options:

Correct Answer: 4/3

Solution:

Slope = (y2 - y1) / (x2 - x1) = (7 - 3) / (5 - 2) = 4/3.

If the coordinates of point A are (2, 3) and point B are (5, 7), what is the slope of line AB?

If the coordinates of point A are (2, 3) and point B are (5, 7), what is the slope of line AB?

Step 1: Identify the coordinates of point A and point B. Point A is (2, 3) and point B is (5, 7).
Step 2: Label the coordinates. For point A, x1 = 2 and y1 = 3. For point B, x2 = 5 and y2 = 7.
Step 3: Use the slope formula: Slope = (y2 - y1) / (x2 - x1).
Step 4: Substitute the values into the formula: Slope = (7 - 3) / (5 - 2).
Step 5: Calculate the difference in y-coordinates: 7 - 3 = 4.
Step 6: Calculate the difference in x-coordinates: 5 - 2 = 3.
Step 7: Now, substitute these results back into the slope formula: Slope = 4 / 3.
Step 8: The slope of line AB is 4/3.

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.