**Graphing using intercepts worksheet :**

Here we are going to see some practice questions on the topic graphing using intercepts.

(1) Graph the given line using intercepts.

2x - 4y = 8

(2) Graph the given line using intercepts.

2x + 3y = 6

(3) Graph the given line using intercepts.

-2x + 4y = 12

(4) Graph the given line using intercepts.

2x + 3y = 12

(5) Graph the given line using intercepts.

5x + y - 10 = 0

(6) Graph the given line using intercepts.

y = 4x - 4

(7) Graph the given line using intercepts.

y = -x/2 - 2

**Problem 1 :**

Graph the given line using intercepts.

2x - 4y = 8

**Solution :**

To find x-intercept, we have to put y = 0

2x - 4y = 8

2x - 4(0) = 8 => 2x - 0 = 8 ==> 2x = 8

Divide by 2 on both sides, we get

x = 4

To find y-intercept, we have to put x = 0

2(0) - 4y = 8 ==> -4y = 8

Divide by (-4) on both sides, we get

y = -2

Hence x and y intercepts are 4 and -2 respectively.

So we have to plot the points (4, 0) and (0, -2) and draw the line which connects the above points.

**Problem 2 :**

Graph the given line using intercepts.

2x + 3y = 6

**Solution :**

To find x-intercept, we have to put y = 0

2x + 3y = 6

2x + 3(0) = 6 ==> 2x = 6

Divide by 2 on both sides, we get

x = 3

To find y-intercept, we have to put x = 0

2(0) + 3y = 6 ==> 3y = 6

Divide by 3 on both sides, we get

y = 2

Hence x and y intercepts are 3 and 2 respectively.

So we have to plot the points (3, 0) and (0, 2) and draw the line which connects the above points.

**Problem 3 :**

Graph the given line using intercepts.

-2x + 4y = 12

**Solution :**

To find x-intercept, we have to put y = 0

-2x + 4(0) = 12

-2x + 0 = 12 ==> -2x = 12

Divide by (-2) on both sides, we get

x = -6

To find y-intercept, we have to put x = 0

-2(0) + 4y = 12 ==> 4y = 12

Divide by 4 on both sides, we get

y = 3

Hence x and y intercepts are -6 and 3 respectively.

So we have to plot the points (-6, 0) and (0, 3) and draw the line which connects the above points.

**Problem 4 :**

Graph the given line using intercepts.

2x + 3y = 12

**Solution :**

To find x-intercept, we have to put y = 0

2x + 3y = 12

2x + 3(0) = 12 ==> 2x + 0 = 12 ==> 2x = 12

Divide by 2 on both sides, we get

x = 6

To find y-intercept, we have to put x = 0

2(0) + 3y = 12 ==> 3y = 12

Divide by 3 on both sides, we get

y = 4

Hence x and y intercepts are 6 and 4 respectively.

So we have to plot the points (6,0) and (0,4) and draw the line which connects the above points.

**Problem 5 :**

Graph the given line using intercepts.

5x + y - 10 = 0

**Solution :**

To find x-intercept, we have to put y = 0

5x - y - 10 = 0

5x - 0 - 10 = 0 ==> 5x = 10

Divide by 5 on both sides, we get

x = 2

To find y-intercept, we have to put x = 0

5(0) - y - 10 ==> -y - 10 = 0

Add 10 on both sides

-y = 10 ==> y = -10

Hence x and y intercepts are 2 and -10 respectively.

So we have to plot the points (2,0) and (0,-10) and draw the line which connects the above points.

**Problem 6 :**

Graph the given line using intercepts.

y = 4x - 4

**Solution :**

To find x-intercept, we have to put y = 0

y = 4x - 4

4x - 4 = 0 ==> 4x = 4

Divide by 4 on both sides, we get

x = 1

To find y-intercept, we have to put x = 0

y = 4(0) - 4 ==> y = -4

Hence x and y intercepts are 1 and -4 respectively.

So we have to plot the points (1,0) and (0,-4) and draw the line which connects the above points.

**Problem 7 :**

Graph the given line using intercepts.

y = -x/2 - 2

**Solution :**

x-intercept, put y = 0

0 = (-x/2) - 2

Add 2 on both sides

2 = -x/2

Multiply 2 on both sides

4 = -x ==> x = -4

y-intercept, put x = 0

y = (-0/2) - 2

y = -2

Hence x and y-intercepts are -4 and -2

So we have to plot the points (-4,0) and (0,-2) and draw the line which connects the above points.

After having gone through the stuff given above, we hope that the students would have understood "Graphing using intercepts worksheet".

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