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.