Respuesta :
Answer:
see explanation
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 - 4x - 5y = - 4 into this form
Add 4x to both sides
- 5y = 4x - 4 ( divide all terms by - 5 )
y = - [tex]\frac{4}{5}[/tex] + [tex]\frac{4}{5}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{4}{5}[/tex]
Parallel lines have equal slopes, thus
y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - [tex]\frac{12}{5}[/tex] + c ⇒ c = - 2 + [tex]\frac{12}{5}[/tex] = [tex]\frac{2}{5}[/tex]
y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex] ← in slope- intercept form
