Question

Which of the following statements best describes the graph of 3x − 2y = 4?

A. It is a straight line joining the points (6, 2), (5, 1), and (7, 3).
B. It is a straight line joining the points (0, −2), (2, 1), and (−2, −5).
C.It is a curve joining the points (3, −2), (2, 3), and (4, 1).
D.It is a curve joining the points (0, 2), (−2, −1), and (4, 1).

Answer 1

i got B if i am correct :)

Answer 2

B. It is a straight line joining the points (0, −2), (2, 1), and (−2, −5).

Explanation:

Given : 3x − 2y = 4.

To find : Which of the following statements best describes the graph .

Solution : We have given 3x − 2y = 4.

Line equation : ax + by + c = 0 .

On comparison a = 3 , b = -2 , c = -4 .

So, it is a line equation .

Now we need to find solution .

For x = 0

3 (0) − 2y = 4.

- 2 y = 4 .

y = -2

( 0, -2)

For x = 2

3 (2) − 2y = 4.

6 -2y = 4

- 2y = 4 -6

-2y = -2 .

y = -1

( 2 , -1)

Therefore, B. It is a straight line joining the points (0, −2), (2, 1), and (−2, −5).