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Find the slopes of the lines passing through the given points L (-2, -3) , M (-6, -8)

2. Find the slopes of the lines passing through the given points L (-2, -3) , M (-6, -8)

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:-

We are given the coordinates of two points, (x1, y1) = (5, -2) and (x2, y2) = (7, 3), and we are asked to find the slope of the line CD that passes through these two points.

To find the slope of the line CD, we use the formula:

Slope of line CD = (y2 – y1) / (x2 – x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points on the line CD.

Substituting the given values, we get:

Slope of line CD = (3 – (-2)) / (7 – 5)

Slope of line CD = (3 + 2) / (7 – 5)

Slope of line CD = 5/2

Therefore, the slope of the line CD passing through the points (5, -2) and (7, 3) is 5/2.

Chapter 5. Co-ordinate Geometry – Practice Set 5.3 (Page 121)