shanieantilus2007
shanieantilus2007 shanieantilus2007
  • 11-07-2021
  • Mathematics
contestada

What is the equation of a line that passes through the points, (-2, 2) and is parallel to a line with an equation of y = 2x + 5

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 11-07-2021

Answer:

y = 2x+6

Step-by-step explanation:

y = 2x + 5

This line is in slope intercept form  y = mx+b where m is the slope and b is the y intercept

The slope is 2.  Parallel lines have the same slope

y = 2x+b

Using the given point and substituting it into the equation

2 = 2(-2) +b

2 =-4+b

Add 4 to each side

2+4 = -4+b+4

6 = b

y = 2x+6

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