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Lena [83]
3 years ago
5

Write an equation that is parallel to y=-4x+5 and passes through the point (-2,-1)

Mathematics
1 answer:
marta [7]3 years ago
8 0

The equation of line parallel to y=-4x+5 is y = -4x-9

Further explanation:

Given equation of line is:

y = -4x+5

Comparing it with the standard form of equation

y=mx+b\\Then\\m = -4

As the slopes of parallel lines is equal, the slope of the line parallel to given line will be same. Putting the value of slope in standard equation.

y = mx +b\\y = -4x +b

To find the value of b, the given point will be put in the equation

-1 = -4x -2\\-1 = -4(-2) +b\\-1 = 8 +b\\-1 -8 = b\\-9 = b

Putting the values of b and m in standard form

y = -4x -9

So, the equation of line parallel to y=-4x+5 is y = -4x-9

Keywords: Slope, Equations of lines, Point-slope equation of line

Learn more about point-slope form at:

  • brainly.com/question/4192226
  • brainly.com/question/5223123

#LearnwithBrainly

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