If the coordinates of point A are (2, 3) and point B are (4, 7), what is the slo
Practice Questions
Q1
If the coordinates of point A are (2, 3) and point B are (4, 7), what is the slope of line AB?
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Questions & Step-by-Step Solutions
If the coordinates of point A are (2, 3) and point B are (4, 7), what is the slope of line AB?
Step 1: Identify the coordinates of point A, which are (2, 3). This means A has an x-coordinate of 2 and a y-coordinate of 3.
Step 2: Identify the coordinates of point B, which are (4, 7). This means B has an x-coordinate of 4 and a y-coordinate of 7.
Step 3: Use the formula for slope, which is (y2 - y1) / (x2 - x1). Here, (x1, y1) are the coordinates of point A and (x2, y2) are the coordinates of point B.
Step 4: Substitute the values into the formula: (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, put these values into the slope formula: 4 / 2.
Step 8: Simplify the fraction: 4 / 2 = 2.
Step 9: The slope of line AB is 2.
Slope of a Line – The slope of a line is calculated as the change in y-coordinates divided by the change in x-coordinates between two points.
