Find the slopes of the lines passing through the given points E(-4, -2) , F (6, 3)
2. Find the slopes of the lines passing through the given points E(-4, -2) , F (6, 3)
E(–4, –2) , F (6, 3)
Slope = \[\frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - \left( - 2 \right)}{6 - \left( - 4 \right)} = \frac{5}{10} = \frac{1}{2}\]
Explanation:- The slope of the line passing through points E(-4,-2) and F(6,3) is calculated as follows:
slope = (y2 – y1) / (x2 – x1) = (3 – (-2)) / (6 – (-4)) = 5 / 10 = 1/2
Therefore, the slope of the line passing through points E(-4,-2) and F(6,3) is 1/2.
To find the slope of a line passing through two given points (x1,y1) and (x2,y2), we use the formula:
slope = (y2 – y1) / (x2 – x1)
Here, the given points are E(-4,-2) and F(6,3).
So, the slope of the line passing through E and F is:
slope = (3 – (-2)) / (6 – (-4)) = 5 / 10 = 1/2
Therefore, the slope of the line passing through the points E and F is 1/2.
Chapter 5. Co-ordinate Geometry – Practice Set 5.3 (Page 121)