In this page equation of line solution3 we are going to see solution of each problem with detailed explanation of the worksheet slope of the line.

(6) Find the equation of the straight line whose

(i) Slope is -4 and passing through (1,2)

**Solution:**

To find the equation of the straight line we have to use the formula of slope point form

Slope (m) = -4

x1 = 1 y 1 = 2

__Equation of the line __

(y - y1) = m(x - x1)

(y – 2) = -4 (x – 1)

y – 2 = -4 x + 4

4 x + y – 2 - 4 = 0

4 x + y – 6 = 0

(ii) Slope is 2/3 and passing through (5,-4)

**Solution:**

To find the equation of the straight line we have to use the formula of slope point form

Slope (m) = 2/3

x1 = 5 y 1 = -4

__Equation of the line __

(y - y1) = m(x - x1)

(y – (-4)) = (2/3) (x – 5)

(y + 4) = (2/3) ( x – 5)

3(y + 4) = 2 (x – 5)

3 y + 12 = 2 x – 10

2 x – 3 y -10 -12 = 0

2 x – 3 y – 22 = 0

(7) Find the equation of the straight line which passes through the midpoint of the line segment joining (4,2) and (3,1) whose angle of inclination is 30 degree.

**
Solution:**

First we have to find midpoint of the line segment joining the points (4,2) and (3,1)

Midpoint = (x₁ + x₂)/2 ,(y₁ + y₂)/2

= (4 + 3)/2 , (2 + 1)/2

= 7/2 , 3/2

angle of inclination = 30°

θ = 30°

slope (m) = tan θ

= tan 30°

m = 1/√3

Equation of the line :

(y - y₁) = m (x - x₁)

[y - (3/2)] = 1/√3 [x - (7/2)]

[(2y - 3)/2)] = 1/√3 [(2x - 7)/2]

(2y - 3) = (1/√3) (2x - 7)

2√3y - 3√3 = 2x - 7

2 x - 2√3y - 7 + 3√3 = 0

equation of line solution3 equation of line solution3

- Section formula
- Area of triangle
- Area of triangle worksheets
- Area of quadrilateral
- Centroid
- Centroid of the triangle worksheets
- Finding missing vertex using centroid worksheet
- Midpoint
- Distance between two points
- Distance between two points worksheet
- Equation of the line
- Equation of line using two points worksheet
- Equation of the line using point and slope worksheets
- Point of intersection of two lines
- Point of intersection Worksheets
- concurrency of straight line
- Concurrency of straight lines worksheet
- Circumcentre of a triangle
- Circumcentre of Triangle Worksheet
- Orthocentre of a triangle
- Orthocentre of Triangle Worksheet
- Incentre of a triangle