**Graphing linear equations using intercepts worksheet :**

Worksheet on graphing linear equations using intercepts is much useful to the students who would like to practice problems on co-ordinate geometry.

1. Graph the linear equation 2x - 3y + 6 = 0 using intercepts.

2. Graph the linear equation y = (2/3)x - 4 using intercepts.

**Problem 1 :**

Graph the linear equation 2x - 3y + 6 = 0 using intercepts.

**Solution :**

**Step 1 : **

Find x-intercept.

Substitute y = 0 in the given equation.

2x - 3(0) + 6 = 0

2x + 6 = 0

Subtract 6 from both sides.

(2x + 6) - 6 = 0 - 6

2x = -6

Divide both sides by 2.

(2x)/2 = -6/2

x = -3

The point corresponding to the x-intercept "-3" is (-3, 0).

**Step 2 : **

Find y-intercept.

Substitute x = 0 in the given equation.

2(0) - 3y + 6 = 0

-3y + 6 = 0

Subtract 6 from both sides.

(-3y + 6) - 6 = 0 - 6

-3y = -6

Divide both sides by -3.

(-3y)/(-3) = (-6)/(-3)

y = 2

The point corresponding to the y-intercept "2" is (0, 2).

**Step 3 : **

Plot the two points (-3, 0) and (0, 2) in xy-plane and connect them to get the graph of the equation 2x - 3y + 6 = 0.

**Problem 2 :**

Graph the linear equation y = (2/3)x - 4 using intercepts.

**Solution :**

**Step 1 : **

Find x-intercept.

Substitute y = 0 in the given equation.

0 = (2/3)x - 4

Add 4 to both sides.

0 + 4 = [(2/3)x - 4] + 4

4 = (2/3)x

Multiply both sides by 3/2.

(4)(3/2) = [(2/3)x](3/2)

6 = x

The point corresponding to the x-intercept "6" is (6, 0).

**Step 2 : **

Find y-intercept.

Substitute x = 0 in the given equation.

y = (2/3)(0) - 4

y = - 4

The point corresponding to the y-intercept "-4" is (0, -4).

**Step 3 : **

Plot the two points (6, 0) and (0, -4) in xy-plane and connect them to get the graph of the equation y = (2/3)x - 4.

After having gone through the stuff given above, we hope that the students would have understood "Worksheet on graphing linear equations using intercepts".

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