In this page equation of line solution1 we are going to see solution of each problem with detailed explanation of the worksheet slope of the line.

(1) Write the equations of the straight lines parallel to x-axis which are at a distance of 5 units from the x-axis

Let us draw lines parallel to x-axis which is at a distance of 5 units from the x-axis

**Solution**

(2) Find the equations of the straight lines parallel to the coordinates axes and passing through the point (-5,-2)

**Solution**

Therefore the two required equations are y = -2 and x = -5

3) Find the equation of a straight line whose

(i) Slope is -3 and y-intercept is 4.

**Solution**

Slope (m) = -3

Y-intercept (c) = 4

Equation of the straight line:

y = m x + c

y = 3 x + 4

Therefore the required equation of the line y = 3 x + 4

(ii) Angle of inclination is 60 degree and y-intercept is 3.

**Solution**

Slope (m) = tan θ

m = tan 60

m = √3

y-intercept (c) = 3

Equation of the straight line:

y = m x + c

y = √3 x + 3

Therefore the required equation of the line y = √3 x + 3

(4) Find the equation of the line intersecting the y-axis at a distance of 3 units above the origin and tan θ = 1/2, where Ѳ is the angle of inclination.

**Solution**

The required line is intersecting the y-axis at a distance of 3 units above the origin. So we can take y-intercept as 3

tan θ = 1/2

m = 1/2

Equation of the straight line:

y = m x + c

y = (1/2) x + 3

y = [x + (3x2)]/2

y = [x + 6]/2

2 y = x + 6

x – 2 y + 6 = 0

equation of line solution1 equation of line solution1

- 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