Question

-6-5

Answer 1

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

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

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.

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

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