# FIND THE SLOPE OF THE LINE FROM EQUATION

To find slope from the equation of the line, first we have to check whether the equation is in standard form or slope intercept form.

Standard form :

ax + by + c = 0 or ax + by = c

Slope intercept form :

y = mx + b

• If the given equation is in slope intercept form, the coefficient of x can be fixed as slope.
• If it is in the standard form, we have to convert it into slope intercept form and find slope.

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.

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