Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? select two options.
y = –x + 1
3x − 4y = −4
4x − 3y = −3
y – 2 = –(x – 4)
y + 2 = (x + 4)

second option.

Step-by-step explanation:

 The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

First, solve for "y" from the given equation of the line:

You can observe that:

So, since the other line is parallel to this line, its slope must  be equal:

Substitute the slope and the point (-4,-2) into and solve for "b":

Then, the equation of the other line in Slope-Intercept form is:

Rewriting it in Standard form, you get:

For this case we have by definition, if two lines are parallel then their slopes are equal.

We have the following equation:

Thus, the slope of the line is:

If we want to find a parallel line, then, it will be of the form:

We substitute the given point to find "b":

Finally the equation is:

Manipulating algebraically:

Option B

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