Find the slopes of the lines passing through the given pointsC (5, -2) , D (7, 3)
2. Find the slopes of the lines passing through the given pointsC (5, -2) , D (7, 3)
Answer:-
Let, x1 = 5, y1 = - 2, x2 = 7, y2 = 3
∴ Slope of line CD = `(y_2 - y_1)/(x_2 - x_1)`
∴ Slope of line CD = `[3 - (- 2)]/[7 - 5]`
∴ Slope of line CD = `[3 + 2]/[7 - 5]`
∴ Slope of line CD = `5/2`
Explanation:-
The given solution is correct. It uses the slope formula, which is:
slope of a line = (change in y)/(change in x)
Using the given coordinates (x1, y1) = (5, -2) and (x2, y2) = (7, 3), the change in y is (y2 – y1) = (3 – (-2)) = 5 and the change in x is (x2 – x1) = (7 – 5) = 2. Therefore, the slope of the line CD is:
slope of line CD = (change in y)/(change in x) = 5/2
So the slope of line CD is 5/2.
Chapter 5. Co-ordinate Geometry – Practice Set 5.3 (Page 121)