Question

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

Answer 1

The equation of the line will be y = $\dfrac{1}{5}x + \dfrac{12}{5}$

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

First, we need to find the equation of the line that is given:

We can use the formula,

$m = \dfrac{y_1 - y_2}{x_1-x_2}$

$m=\dfrac{-3-(-4)}{0-(-5)}=\dfrac{1}{5}$

So the equation for this line is  

y = (1/5) x - 3

This means that the equation for the line we are trying to find has a slope of as well

Let's put the points in the equation and try to find the y-intercept:

2 = $\dfrac{1}{5}$ ( -2 ) + b

$\dfrac{15}{5} = b$

So the final equation for the line we are trying to find is y = $\dfrac{1}{5}x + \dfrac{12}{5}$

To know more about equations follow

brainly.com/question/2972832

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