If the coordinates of point C are (5, 5) and point D are (1, 1), what is the slo
Practice Questions
Q1
If the coordinates of point C are (5, 5) and point D are (1, 1), what is the slope of CD? (2021)
1
0
2
3
Questions & Step-by-Step Solutions
If the coordinates of point C are (5, 5) and point D are (1, 1), what is the slope of CD? (2021)
Step 1: Identify the coordinates of point C, which are (5, 5). This means C has an x-coordinate of 5 and a y-coordinate of 5.
Step 2: Identify the coordinates of point D, which are (1, 1). This means D has an x-coordinate of 1 and a y-coordinate of 1.
Step 3: Use the slope formula, which is (y2 - y1) / (x2 - x1). Here, (x1, y1) are the coordinates of point D and (x2, y2) are the coordinates of point C.
Step 4: Substitute the values into the formula: (5 - 1) / (5 - 1).
Step 5: Calculate the difference in y-coordinates: 5 - 1 = 4.
Step 6: Calculate the difference in x-coordinates: 5 - 1 = 4.
Step 7: Now, put these values into the slope formula: 4 / 4.
Step 8: Simplify the fraction: 4 / 4 = 1.
Step 9: The slope of line CD is 1.
Slope Calculation – The slope of a line between two points is calculated using the formula (y2 - y1) / (x2 - x1).
Coordinate System – Understanding how to read and interpret coordinates in a Cartesian plane.
