If the coordinates of point A are (2, 3) and point B are (4, 7), what is the slope of line AB?
Practice Questions
1 question
Q1
If the coordinates of point A are (2, 3) and point B are (4, 7), what is the slope of line AB?
2
1
3
4
Slope = (7-3)/(4-2) = 4/2 = 2.
Questions & Step-by-step Solutions
1 item
Q
Q: If the coordinates of point A are (2, 3) and point B are (4, 7), what is the slope of line AB?
Solution: Slope = (7-3)/(4-2) = 4/2 = 2.
Steps: 9
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.
