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)

Answer:-

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)