REWRITE IN SLOPE INTERCEPT FORM

In this section, you will learn how to write the equation of a line in slope intercept form. 

Slope-intercept form equation of a line : 

y = mx + b

Here 'm' stands for slope of the line and 'b' stands for y-intercept.

Example 1 :

Rewrite the following equation of a straight line in slope intercept form.

8x + 2y - 1  =  0

Solution :

8x + 2y - 1  =  0

Subtract 8x from each side.

2y - 1  =  -8x

Add 1 to each side. 

2y  =  -8x + 1

Divide each side by 2.

y  =  (-8x + 1) / 2

y  =  -8x/2 + 1/2

y  =  -4x + 1/2

Example 2 :

Rewrite the following equation of a straight line in slope intercept form.

3y - 2x + 9  =  0

Solution :

3y - 2x + 9  =  0

Add 2x to each side.

3y + 9  =  2x

Subtract 9 from each side.

3y  =  2x - 9

Divide each side by 3.

y  =  (2x - 9) / 3

y  =  2x/3 - 9/3

y  =  2x/3 - 3

Example 3 :

Rewrite the following equation of a straight line in slope intercept form.

y - 4  =  -3(x - 3)

Solution :

y - 4  =  -3(x - 3)

Distributive property. 

y - 4  =  -3x + 9

Add 4 to each side.

y  =  -3x + 13

Example 4 :

Rewrite the following equation of a straight line in slope intercept form.

y - 8  =  (-1/2)(x + 4)

Solution :

y - 8  =  (-1/2)(x + 4)

Distributive property.

y - 8  =  -x/2 - 2

Add 8 to each side. 

y  =  -x/2 + 6

Example 5 :

Rewrite the following equation of a straight line in slope intercept form.

6x - 2y - 10  =  0

Solution :

6x - 2y - 10  =  0

Add 2y to each side. 

6x - 10  =  2y

Divide each side by 2.

(6x - 10) / 2  =  y

6x/2 - 10/2  =  y

3x - 5  =  y

(or)  y  =  3x - 5

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