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

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

[ It is because x- & y-coordinates are valid in this situation ]

Hope this helps!

Answer 2

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

Explanation:

Given : Equation
`3x-2y=4`

To find : Which of the following statements best describes the graph of equation?

Solution :

We have given equation
`3x-2y=4`

This is the linear equation so it form a straight line.

So, Last two options were not correct.

We plot the equation with the help of graphing tool.

The straight line passes through (0,-2) which occur in option b.

Now, Point (2, 1), and (−2, −5).

All three points lie on the straight line.

Therefore, option b is correct.

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

Refer the attached figure below.