# REWRITE IN SLOPE INTERCEPT

## About "Rewrite in slope intercept"

Rewrite in slope intercept :

To write any linear equation in the form of ax + by + c = 0, we need to convert the given equation in the form

y = mx + b

Here "m" stands for slope and "b" stands for y-intercept.

## How to rewrite the equation in slope intercept form ?

Step 1 :

First we have to keep the "y" term to the left side. Keep the x term and constant term to the right side using inverse operations.

Step 2 :

Now we have to divide the whole equation by the coefficient of y.

If we do not have any coefficient for y then we can leave it as it is.

Step 3 :

From this we can decide the coefficient of x is slope and constant term is y-intercept.

Example 1 :

Rewrite the following equation as slope intercept form

8x + 2y - 1 = 0

Solution :

Subtract 8x on both sides

8x - 8x  + 2y - 1 = 0 - 8x

2y - 1 = -8x

2y - 1 + 1 = -8x + 1

2y = -8x + 1

Divide the whole equation by 2

y = -4x + (1/2)

Example 2 :

Rewrite the following equation as slope intercept form

3y - 2x + 9 = 0

Solution :

3y = 2x + 9

Divide by 3 on both sides

y = (2/3)x + (9/3)

y = (2/3)x + 3

Example 3 :

Rewrite the following equation as slope intercept form

y - 4 = -3(x - 3)

Solution :

y - 4 = -3x + 9

Adding +4 on both sides, we get

y- 4 + 4 = -3x + 9 + 4

y = -3x + 13

Example 4 :

Rewrite the following equation as slope intercept form

y - 8 = (-1/2)(x + 4)

Solution :

y - 8 = (-x/2) + (-4/2)

y - 8 = (-1/2)x - 2

y - 8 + 8 = (-1/2)x - 2 + 8

y = (-1/2)x + 6

Example 5 :

Rewrite the following equation as slope intercept form

6 x - 2 y - 10 = 0

Solution :

Divide the whole equation by -2

-2y/(-2) = -6x/(-2) + 10/(-2)

y = 3x - 5

After having gone through the stuff given above, we hope that the students would have understood "Rewrite in slope intercept".

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