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Ipatiy [6.2K]
1 year ago
7

-6-5

Mathematics
1 answer:
tankabanditka [31]1 year ago
7 0

The equation of the line that is parallel to the given line and passes through the point (-2,2) is:

y = \frac{x}{5} + \frac{12}{5}

<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.

When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:

m = (-3 - (-4))/(0 - (-5)) = 1/5.

Hence the equation is:

y = \frac{x}{5} + b

When x = -2, y = 2, then:

y = \frac{x}{5} + b

2 = \frac{-2}{5} + b

b = \frac{12}{5}

Hence:

y = \frac{x}{5} + \frac{12}{5}

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

#SPJ1

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--------------------
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