Question

What is the equation of the line that passes through the point (6.14) and is parallel to the line with the following equation?

Answer 1

Therefore the equation of the required line is  $x+y= 20$

Step-by-step explanation:

Given,

a line passes through the point (6,14) and is parallel to the line y =-x-1.

The slope of the given line is -1. [ the coefficient of x]

Since the required line parallel to the given line.

So, the slope of required line is = -1

The equation of line which passes through the point $(x_1,y_1)$ and slope is m is $y-y_1=m(x-x_1)$

Therefore the equation of the required line is

$y - 14= -1(x-6)$

$\Leftrightarrow y -14 = -x+6$

$\Leftrightarrow x+y= 20$