हिंदी

Find the slope of the line passing through given points G(3, 7) and K(–2, –3). - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

Find the slope of the line passing through given points G(3, 7) and K(–2, –3).

योग

उत्तर

Given points are G(3, 7) and K(–2, –3).

Let x1 = 3, x2 = – 2, y1 = 7, y2 = – 3

∴ Slope of line GK = `(y_2 - y_1)/(x_2 - x_1)`

⇒ Slope of line GK = `(-3 - 7)/(-2 - 3)`

= `(-10)/(-5)`

= 2

As a result, the slope of the line GK is 2.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2024-2025 (March) Model set 1 by shaalaa.com

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Find x, if the slope of the line joining (x, 2) and (8, −11) is `−3/4`.


The side AB of a square ABCD is parallel to the x-axis. Find the slopes of all its sides. Also, find: 

  1. the slope of the diagonal AC.
  2. the slope of the diagonal BD.


The line through P(5, 3) intersects y-axis at Q.

  1. Write the slope of the line.
  2. Write the equation of the line.
  3. Find the co-ordinates of Q.


Find the slope of the line which is perpendicular to `x - y/2 + 3 = 0`


Find the slope of the line which is perpendicular to `x/3 - 2y = 4`


If the lines y = 3x + 7 and 2y + px = 3 are perpendicular to each other, find the value of p.


Find the value of k for which the lines kx – 5y + 4 = 0 and 5x – 2y + 5 = 0 are perpendicular to each other.


Determine whether the following point is collinear.

A(–4, 4), \[K\left( - 2, \frac{5}{2} \right),\] N (4, –2)


If A(1, –1), B(0, 4), C(–5, 3) are vertices of a triangle then find the slope of each side.


Fill in the blank using correct alternative.

Distance of point (–3, 4) from the origin is ______.


Find the slope of a line, correct of two decimals, whose inclination is 60°


Find the slope of a line passing through the given pair of points (0,5) and (5,0)


Find the slope of a line parallel to the given line 5x-y = 10


Find the slope of a line parallel to AB, if the coordinates of A and B are (3,-1) and (-7,5) respectively.

Find the slope of a line parallel to MN, if the coordinates of M and N are (4,9) and (-2,3) respectively.

Without distance formula, show that the points A (5,8), B (4,4), C (0,5) and D (1,9) form a rhombus.

The vertices of a triangle are A(10, 4), B(- 4, 9) and C(- 2, -1). Find the


Determine whether the following points are collinear. A(–1, –1), B(0, 1), C(1, 3)

Given: Points A(–1, –1), B(0, 1) and C(1, 3)

Slope of line AB = `(square - square)/(square - square) = square/square` = 2

Slope of line BC = `(square - square)/(square - square) = square/square` = 2

Slope of line AB = Slope of line BC and B is the common point.

∴ Points A, B and C are collinear.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×