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Indicate the equation of the given line in standard form. Show all of your work for full credit.


The line containing the diagonal, BD, of a square whose vertices are A(-3, 3), B(3, 3), C(3, -3), and D(-3, -3). Find two equations, one for each diagonal.

Respuesta :

The linear equations are given as follows:

  • For diagonal AC: [tex]x + y = 0, -3 \leq x \leq 3[/tex].
  • For diagonal BD: [tex]x - y = 0, -3 \leq x \leq 3[/tex].

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For diagonal AC, the line contains points (-3,3) and (3,-3), hence the line is:

y = -x.

In standard form:

[tex]x + y = 0, -3 \leq x \leq 3[/tex].

For diagonal BD, the line contains points (3,3) and (-3,-3), hence the line is:

y = x.

In standard form:

[tex]x - y = 0, -3 \leq x \leq 3[/tex].

More can be learned about linear equations at https://brainly.com/question/24808124

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