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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