Find the equation of a line, in slope-intercept form of a line that passes through the point (-5, -1) and is parallel to -2x+4y=8. ​

Step-by-step explanation:

Let's write to slope-intercept form.

We do this by solving for

Add 2x to both sides

Divide both sides by 4

Now that we have that equation in slope-intercept form, the question wants us to find a line that is parallel to it that passes the point (-5, -1).

A line is parallel to another line is they have the same exact slope.

The slope is .

Slope-intercept form: , where is the slope and is the y-intercept.

So, let's see what we have here so far.

All we have to do is find .

The question wants the line to pass the point (-5, -1).

Let's plug that point in.

We have all the information needed to finish this problem!

So, the line that is parallel to and passes through the point (-5, -1).

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step-by-step explanation:

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