Question

Which of the following statements is true about the graph of the equation 2y - 3x = -4 in

the xy-plane?

Answer 1

See Explanation

Step-by-step explanation:

Given

`2y - 3x = -4`

Required

Identify the true statements

No option attached to the question. However, some attributes that can be look out for are:

• The slope
• The y intercept

`2y - 3x = -4`

Solve for 2y

`2y = 3x - 4`

Solve for y

`y = (3)/(2)x - (4)/(2)`

`y = (3)/(2)x - 2`

A linear equation has the slope form:
`y = mx + b` where

`m = slope`

`b = y\ intercept`

By comparison:

`m = (3)/(2)`

`b = -2`

Hence, the slope of the equation is 3/2 and the y intercept is -2