Find the slope of the following lines which pass through the point: (2, 3), (2, – 1) - Mathematics and Statistics

Find the slope of the following lines which pass through the point: (2, 3), (2, – 1)

Sum

Let E = (2, 3) = (x₁, y₁) and F = (2, – 1) = (x₂, y₂)
Since x₁ = x₂= 2
∴ The slope of EF is not defined. ...[EF || y – axis]

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Chapter 5: Locus and Straight Line - Exercise 5.2 [Page 69]

Chapter 5 Locus and Straight Line
Exercise 5.2 | Q 1. (c) | Page 69

Find the slope of the following lines which pass through the point: (– 2, 3), (5, 7)

Find the slope of the following lines which pass through the point: (7, 1), (– 3, 1)

If the X and Y-intercepts of line L are 2 and 3 respectively, then find the slope of line L.

Find the slope of the line whose inclination is 30°.

A line makes intercepts 3 and 3 on coordinate axes. Find the inclination of the line.

Without using Pythagoras theorem, show that points A (4, 4), B (3, 5) and C (– 1, – 1) are the vertices of a right-angled triangle.

Find the slope of the line passing through the following point: (–1, 3), (3, –1)

Find the slope of the line passing through the following point: (2, – 5), (3, – 1)

Find the slope of the line which makes an angle of 120° with the positive X-axis.

Find the slope of the line which makes intercepts 3 and – 4 on the axes.

Find the slope of the line which passes through the points A(–2, 1) and the origin.

Find the slope of the line y – x + 3 = 0.

Does point A(2, 3) lie on the line 3x + 2y – 6 = 0? Give reason.

Obtain the equation of the line containing the point: (2, 4) and perpendicular to the Y−axis.

Obtain the equation of the line containing the point: (2, 5) and perpendicular to the X−axis.

Find the equation of the line: containing the point T(7, 3) and having inclination 90°.

Find the equation of the line: containing the origin and having inclination 90°.