Respuesta :

xenia168

Answer:

y = [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

1). Slopes of ║ lines are equal.

2). Equation of the line passing through the point ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) is

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~~~

y = [tex]\frac{1}{2}[/tex] x - 10 , slope m = [tex]\frac{1}{2}[/tex]

( 2 , 5 )

y - 5 = [tex]\frac{1}{2}[/tex] ( x - 2 )

y = [tex]\frac{1}{2}[/tex] x - 1 + 5

y = [tex]\frac{1}{2}[/tex] x + 4

#1

  • y=1/2x-10

Comapre to slope intercept form

  • Slope=m=1/2

Parallel lines have equal slope

Equation of parallel line in point slope form

  • y-5=1/2(x-2)
  • 2y-10=x-2
  • 2y=x+8
  • y=1/2x+4