abbiewest abbiewest
  • 22-03-2020
  • Mathematics
contestada

which equation represents the line that passes through the points (6,3) and is parallel to y=1/2x+8

Respuesta :

jimrgrant1 jimrgrant1
  • 22-03-2020

Answer:

y = [tex]\frac{1}{2}[/tex] x

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 )

y = [tex]\frac{1}{2}[/tex] x + 8 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex], thus

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (6, 3) into the partial equation

3 = 3 + c ⇒ c = 3 - 3 = 0

y = [tex]\frac{1}{2}[/tex] x ← equation of parallel line

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