**Slope intercept form graph examples :**

Here we are going to learn how to graph a linear equation using 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

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 "Slope intercept form graph examples".

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