Question

Hello guys I need help with this multiple choice question <3​

Answer 1

fourth equation

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2y + 3x = 8 into this form

Subtract 3x from both sides

2y = - 3x + 8 ( divide all terms by 2 )

y = -
`(3)/(2)` + 4 ← in slope- intercept form

with slope m = -
`(3)/(2)`

Parallel lines have equal slopes, thus

y = -
`(3)/(2)` x + c ← is the partial equation

To find c substitute (2, - 1) into the partial equation

- 1 = - 3 + c ⇒ c = - 1 + 3 = 2

y = -
`(3)/(2)` x + 2 ← equation of line