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A contractor is building a new subdivision on the outside of a city. He has started work on the first street and is planning for the other streets to run in a direction parallel to the first. The second street will pass through (-2, 4). Find the equation of the location of the second street in standard form

2x + y = 2
z-y=2
21-y=2
x+y=2

A contractor is building a new subdivision on the outside of a city. He has started work on the first street and is planning for the other streets to run in a d class=

Answer :

Using concepts to build the equation of a line, it is found that the equation is:

x+y=2

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Equation of a line:

The equation of a line, in slope-intercept formula, is given by:

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

In which m is the slope and b is the y-intercept.

If two lines are parallel, they have the same slope.

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Finding the slope:

  • Having two points in the format (x,y), the slope is given by the change in y divided by the change in x.
  • The equation of the street is parallel to the equation of the line in the graph, thus they have the same slope.
  • Two points in the graph are: (-1,2) and (0,1).
  • Change in y: 1 - 2 = -1.
  • Change in x: 0 - (-1) = 1

Thus:

[tex]y = -x + b[/tex]

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Since the second street will pass through (-2, 4), it means that when [tex]x = -2, y = 4[/tex], and we use it to find b, which is the y-intercept. So

[tex]y = -x + b[/tex]

[tex]4 = -(-2) + b[/tex]

[tex]2 + b = 4[/tex]

[tex]b = 2[/tex]

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Thus, the equation of the line is:

[tex]y = -x + 2[/tex]

In standard form:

[tex]x + y = 2[/tex]

A similar problem is given at https://brainly.com/question/22532445

ShaniahPoweska

Answer:

in standard form it is "x + y = 2"

Step-by-step explanation:

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