Answer:
fourth equation
Step-by-step 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 = - [tex]\frac{3}{2}[/tex] + 4 ← in slope- intercept form
with slope m = - [tex]\frac{3}{2}[/tex]
Parallel lines have equal slopes, thus
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, - 1) into the partial equation
- 1 = - 3 + c ⇒ c = - 1 + 3 = 2
y = - [tex]\frac{3}{2}[/tex] x + 2 ← equation of line
