Respuesta :

mhanifa

Answer:

y= 1/5x + 12/5

Step-by-step explanation:

  • Points: (0, -3) and (-5, -4)
  • Line: y= mx+b
  • Slope: m=(y2-y1)/(x2-x1)= (-4+3)/(-5-0)= -1/-5= 1/5
  • Y-intercept: -3= 0*1/5+b ⇒ b= -3
  • So the line is: y= 1/5x - 3

Parallel line to this has same slope and passes through the point (-2, 2)

  • Its y- intercept is: 2= 1/5(-2)+b ⇒ b= 2+2/5= 12/5

The required equation in slope- intercept form is:

  • y= 1/5x + 12/5

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