Give the equation of the line that passes through point (-5, -1) and is parallel to the line y = -

14x
- 7.

To find the equation of a line that is parallel to another line, it's important to know that parallel lines have the same slope. In this case, the given line has a slope of -14.

Given the point (-5, -1) and the slope of the line (-14), we can use the point-slope form of a linear equation to find the equation of the line.

The point-slope form of a linear equation is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line.

Substituting the values into the equation, we have:

y - (-1) = -14(x - (-5))

Simplifying the equation, we get:

y + 1 = -14(x + 5)

Distributing the -14 on the right side of the equation, we have:

y + 1 = -14x - 70

To get the equation in standard form, move the terms around:

14x + y = -71

So, the equation of the line that passes through the point (-5, -1) and is parallel to the line y = -14x - 7 is 14x + y = -71.