Question

Consider the graph of the line y = -x-4 and the point

Answer 1

Answer:

-1

y = -x -2

1

y = x + 6

Step-by-step explanation:

Given line is y = - x - 4

We know that the equation of a line is of the form y = mx + c where m is the slope of the line and c is a constant

Now The slope of the given line is m = -1

We know that the slope of any line parallel to the given line is same the original one

Therefore the slope of the line parallel to the given line is -1

Given the point is ( -4 , 2 ) and slope is  -1

We know that the equation of a line passing through the point (c , d) and slope m is

$y - d=m\times(x-c)$

Here the equation is

$y-2=-1\times(x-(-4))$

y = -x -2

We know that if two lines with slopes m1 and m2 are perpendicular then m1m2 = -1

Here m1 = -1 then

m2 = 1

Given the point is ( -4 , 2 ) and slope is  1    

We know that the equation of a line passing through the point (c , d) and slope m is

$y - d=m\times(x-c)$

Here the equation is

$y-2=1\times(x-(-4))$

y = x + 6