Question

draw the graph of the equation 3x+4y=11

Answer 1

Answer:

Step-by-step explanation:

Answer 2

3x + 4y = 11

To draw the graph we need to find the solutions for the given Linear equation in two variables.

Firstly make a equation for variable y.

we get -

4y = 11 - 3x --- (1)

put x = 1 in eq. (1), we get -

4y = 11 - 3(1)

4y = 11 - 3

4y = 8

y = 8 ÷ 4 = 2

First solution is (1,2).

Now, Put x = 2 in eq (1) we get -

4y = 11 - 3(-3)

4y = 11 + 9

4y = 20

y = 20 ÷ 4 = 5

Second solution is (-3,5)

Now Put x = -7 in eq. 1 we get

4y = 11 + 3(-7)

4y = 11 + 21

4y = 32

y = 32 ÷ 4

y = 8

Third solution is (-7,8)


Make graph from these solutions.

Graph is given in the attachment.