rmha32ovprv0 rmha32ovprv0
  • 02-01-2019
  • Mathematics
contestada

fa line has the equation 2y=-3x+1. Find an equation of a line parallel to this line that has a y-intercept of -2.

Respuesta :

jimrgrant1 jimrgrant1
  • 02-01-2019

Answer:

y = - [tex]\frac{3}{2}[/tex] x - 2

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 + 1 into this form

divide all terms by 2

y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{1}{2}[/tex] ← in slope-intercept form

with m = - [tex]\frac{3}{2}[/tex]

• Parallel lines have equal slopes

given y-intercept = - 2 ⇒ c = - 2

y = - [tex]\frac{3}{2}[/tex] x - 2 ← equation of parallel line


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