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what is the equation of the line described below written in slope-intercept form the line passing through the point (-1,5) and parallel to the line whose equation is x + y = 10

y=x-4
y=x+4
y=-x+4​

Answer :

absor201

The correct answer is y=-x+4​

Further explanation:

Given equation of line is:

[tex]x+y = 10[/tex]

Comparing it with the standard point-slope form

[tex]y = mx+b[/tex]

We get

y = -x+10

So

m = -1

As the new line is parallel to given line it will also have m=-1 as slope of two parallel lines is equal

For finding b, we will put the point and value of m in standard form

[tex]y = mx+b\\5 = (-1)(-1) + b\\5 = 1+b\\5-1 = b\\b=4[/tex]

Hence the equation will be:

[tex]y = (-1)x+4\\y = -x+4[/tex]

The correct answer is y=-x+4​

Keywords: Slope, Equation of line, Point-slope form

Learn more about Point-slope form of equation of line at:

  • brainly.com/question/4838384
  • brainly.com/question/4874740

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