What is the answer to the question

The equation of the parallel line is y = –2x – 11.

Solution:

Given equation of the line is y = –2x – 5.

Slope of this line is = –2

To write the equation parallel to this line and passes through (–4, –3).

If two lines are parallel, then they have the same slope.

Point-slope formula:

Substitute the given values in the formula, we get

Subtract 3 from both sides of the equation.

Hence the equation of the parallel line is y = –2x – 11.