# GRAPHING LINEAR EQUATIONS IN SLOPE INTERCEPT FORM

## About "Graphing linear equations in slope intercept form"

Graphing linear equations in slope intercept form :

Here we are going to learn how to graph a linear equation in slope and y-intercept.

Whenever we have the given equation in the form of y = mx + b, we can easily draw a graph for by finding two things from the equation.

(i) Slope

(ii) y -intercept

By comparing the given equation with the form y = mx + b,  we get slope and y-intercept.

Step 1 :

In a graph sheet mark the y-intercept on the y-axis. Since it is y-intercept, the value of x will be zero.

Step 2 :

Now we need to find the slope. Because slope is the deciding factor whether the required line is falling line or rising line.

Slope (m) = Rise/Run

(or)

Slope  =  Change of y / Change of x

## Graphing linear equations in slope intercept form - Examples

Let us see some examples problem based on the above concept.

Example 1 :

Graph this line using the slope and y-intercept

y = (- 1/8) x + 2

Solution :

By comparing the given equation with the general form y = mx + b, we get

Slope  =  -1/8

y-intercept  =  2

Slope  =  Rise / Run

Rise is -1 units and run is 8 units.

Step 1 :

First we are going to mark the y-intercept on the graph sheet.

Step 2 :

Here rise is -1, so we have to move downward 1 unit from the y-intercept.

Since run is 8, we have to move right side 8 units from y-intercept.

Example 2 :

Graph this line using the slope and y-intercept:

y = -6 x + 9

Solution :

By comparing the given equation with the general form y = mx + b, we get

Slope  =  -6/1

y-intercept  =  9

Slope  =  Rise / Run

Rise is -6 units (Change of y) and run is 1 unit (Change of x).

Step 1 :

First we are going to mark the y-intercept on the graph sheet.

Step 2 :

Here rise is -6, so we have to move downward 6 unit from the y-intercept.

Since run is 1, we have to move right side 1 unit from y-intercept.

Hence the required graph is

Example 3 :

Graph this line using the slope and y-intercept:

y = -7 x – 1

Solution :

By comparing the given equation with the general form y = mx + b, we get

Slope  =  -7/1

y-intercept  =  -1

Slope  =  Rise / Run

Rise is -7 units (Change of y) and run is 1 unit (Change of x).

Step 1 :

First we are going to mark the y-intercept on the graph sheet.

Step 2 :

Here rise is -7, so we have to move downward 7 units from the y-intercept.

Since run is 1, we have to move right side 1 unit from y-intercept.

Hence the required graph is

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

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