Maths-

General

Easy

Question

# A line l touches the Y-axis at point 3 and has slope –3. Find the slope of the line perpendicular to the line l.

## The correct answer is: Slope of the line which is perpendicular to line l is 1 third

### Hint:-

1. The slope of a line can be defined as the change in y coordinates of any 2 points on that line corresponding to the change in the x coordinates of those 2 points. This is generally referred to as the rise to run ratio of the given line i.e. how much did the y-coordinates rise vis - a - vis how long a distance was covered by the x-coordinates. Slope = m = rise / run = y2-y1 / x2-x1

2. Slopes of perpendicular lines are negative reciprocals of each other.

Step-by-step solution:-

Slope of line l = -3 …...................... (Given).

The given line is perpendicular to line l ….................. (Given)

We know that slopes of perpendicular lines are negative reciprocals of each other.

∴ Slope of the given line = -1/ slope of line l

∴ Slope of the given line = -1/ -3

∴ Slope of the given line = 1/3

Final Answer:-

∴ Slope of the line which is perpendicular to line l is .

### Related Questions to study

Maths-

### The radius of the base of a right circular cylinder is doubled and the height is halved. What is the ratio of volume of the new cylinder to that of the original cylinder?

### The radius of the base of a right circular cylinder is doubled and the height is halved. What is the ratio of volume of the new cylinder to that of the original cylinder?

Maths-General

Maths-

### Two sides of a parallelogram are 7 inch and 4 inch respectively. The angle between them is 30 degrees. Find its area

### Two sides of a parallelogram are 7 inch and 4 inch respectively. The angle between them is 30 degrees. Find its area

Maths-General

Maths-

### Sides of a triangle are in the ratio 12 : 17 : 25 and its perimeter is 540 cm. Find its area.

### Sides of a triangle are in the ratio 12 : 17 : 25 and its perimeter is 540 cm. Find its area.

Maths-General

Maths-

### A Cylinder and cone are of the same height. If diameter of their bases are in the ratio 2:3, Find the ratio of their volumes?

### A Cylinder and cone are of the same height. If diameter of their bases are in the ratio 2:3, Find the ratio of their volumes?

Maths-General

Maths-

### During Van Mahotsav, some children planted trees in a triangular region, two sides of which are 18 m and 10 m and the perimeter is 42 m. Find the area of the planted region.

### During Van Mahotsav, some children planted trees in a triangular region, two sides of which are 18 m and 10 m and the perimeter is 42 m. Find the area of the planted region.

Maths-General

Maths-

### If the area of a parallelogram is 300m^{2} and the base of the parallelogram is thrice its height, find the base and height of a parallelogram.

### If the area of a parallelogram is 300m^{2} and the base of the parallelogram is thrice its height, find the base and height of a parallelogram.

Maths-General

Maths-

### Identify the equation of a line parallel to the line y = x – 1

### Identify the equation of a line parallel to the line y = x – 1

Maths-General

Maths-

### Find the area of an isosceles triangle whose one side is 10 cm greater than each of its equal sides and perimeter is 100 cm.

### Find the area of an isosceles triangle whose one side is 10 cm greater than each of its equal sides and perimeter is 100 cm.

Maths-General

Maths-

### What is the area of a parallelogram with coordinated ,

### What is the area of a parallelogram with coordinated ,

Maths-General

Maths-

### Identify the equation of a line perpendicular to the line x/2 + y = -1

### Identify the equation of a line perpendicular to the line x/2 + y = -1

Maths-General

Maths-

### If the area of an equilateral triangle is 16 cm^{2} find the length of the side of the triangle.

### If the area of an equilateral triangle is 16 cm^{2} find the length of the side of the triangle.

Maths-General

Maths-

### Find the equation of a line which passes through (1, 2) and is perpendicular to the line with an equation y = x – 1.

### Find the equation of a line which passes through (1, 2) and is perpendicular to the line with an equation y = x – 1.

Maths-General

Maths-

### A Cylinder tank has a diameter 75 cm and height 1.8 m, Find the capacity in litres to three significant figures.

### A Cylinder tank has a diameter 75 cm and height 1.8 m, Find the capacity in litres to three significant figures.

Maths-General

Maths-

### Identify the line having y-intercept =

### Identify the line having y-intercept =

Maths-General

Maths-

### Find the perimeter and height of an equilateral triangle whose area is equal to 60cm^{2}

### Find the perimeter and height of an equilateral triangle whose area is equal to 60cm^{2}

Maths-General