Answer :
The linear equation that is parallel to the line passing through (-4, -8) and (-4, 2) but passes through the point (2, -5) is given by:
x = 2.
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.
The line passing through (-4, -8) and (-4, 2) has an undefined slope, hence it is given by:
x = -4.
When two lines are parallel, they have the same slope, hence the line that passes through the point (2, -5) is given by:
x = 2.
The graph at the end of the answer shows both vertical lines.
More can be learned about linear functions at https://brainly.com/question/24808124
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