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50 POINTS!!! What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10? Enter your answer in the box $\text{Basic}$

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clixinsane

Answer:A quick way to solve this problem involves copying the given equation:

2x + 5y = 10

dropping the final 10, and

substituting the given x and y values:  (5, -4).  

Then:

2(5) + 5(-4) = C           C = 10-20 = -10

Thus, the equation of this new, parallel line is 2x + 5y = -10.

Step-by-step explanation:

because that's

the fastest way to do it
  • 2x+5y=10
  • 5y=-2x+10
  • y=-2/5x+2

Compare to slope intercept form

  • slope=m=-2/5

parallel lines hAve equal slopes

Equation of parallel line

  • y+4=-2/5(x-5)
  • y+4=-2/5x+1
  • y=-2/5x-3

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