Respuesta :
Answer:
y = [tex]\frac{5}{2}[/tex] x + 8
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 5x - 2y = 8 into this form
subtract 5x from both sides
- 2y = - 5x + 8 ( divide all terms by - 2 )
y = [tex]\frac{5}{2}[/tex] x - 4 ← in slope-intercept form
with m = [tex]\frac{5}{2}[/tex]
• Parallel lines have equal slopes, hence
y = [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
to find c substitute (- 2, 3) into the partial equation
3 = - 5 + c ⇒ c = 3 + 5 = 8
y = [tex]\frac{5}{2}[/tex] x + 8 ← equation of parallel line
