FIND THE SLOPE OF THE LINE FROM EQUATION

Write down the gradient of each of these lines.

Problem 1 :

y = 3x + 1

Solution :

Given, y = 3x + 1

The above line is in slope intercept form.

Comparing y = mx + b and y = 3x + 1

Slope (m) = 3.

Problem 2 :

y = 2x - 5

Solution :

Given, y = 2x - 5

The above line is in slope intercept form.

Comparing y = mx + b and y = 2x - 5

Slope (m) = 2.

Problem 3 :

y = 7x + 4

Solution :

Given, y = 7x + 4

The above line is in slope intercept form.

Comparing y = mx + b and y = 7x + 4

Slope (m) = 7.

Problem 4 :

y = 10x + 5

Solution :

Given, y = 10x + 5

The above line is in slope intercept form.

Comparing y = mx + b and y = 10x + 5

Slope (m) = 10.

Problem 5 :

y = x - 2

Solution :

Given, y = x - 2

The above line is in slope intercept form.

Comparing y = mx + b and y = x - 2

Slope (m) = 1.

Problem 6 :

y = 6x 

Solution :

Given, y = 6x

The above line is in slope intercept form.

Comparing y = mx + b and y = 6x

Slope (m) = 6.

Problem 7 :

y = -4x + 3

Solution :

Given, y = -4x + 3

The above line is in slope intercept form.

Comparing y = mx + b and y = -4x + 3

Slope (m) = -4.

Problem 8 :

y = -3x - 7

Solution :

Given, y = -3x - 7

The above line is in slope intercept form.

Comparing y = mx + b and y = -3x - 7

Slope (m) = -3.

Problem 9 :

y = (1/2)x + 3

Solution :

Given, y = (1/2)x + 3

The above line is in slope intercept form.

Comparing y = mx + b and y = (1/2)x + 3

Slope (m) = 1/2.

Problem 10 :

y = (-4/5)x - 9

Solution :

Given, y = (-4/5)x - 9

The above line is in slope intercept form.

Comparing y = mx + b and y = (-4/5)x - 9

Slope (m) = -4/5.