What is 4×-3+12=180 equal
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The linear equation that has the desired characteristics is given by:
y = -2.5x.
The graph is given at the end of this question.
<h3>What is a linear function?</h3>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.
If two lines are parallel, they have the same slope, which is given by change in y divided by change in x, hence:
m = (-3 - 2)/(-4 - (-6)) = -5/2 = -2.5.
Hence:
y = -2.5x + b.
The line also passes through (2,-5), that is, when x = 2, y = -5, hence we use it to find b.
-5 = -2.5(2) + b
b = 0.
Hence the equation is:
y = -2.5x.
The graph is given at the end of this question.
More can be learned about linear equations at brainly.com/question/24808124
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