Hi im studyng and ive been realy strugglin with this one

Question

Write the equation in slope intercept form:  of a line parallel to the given line and passes through the given points 

 

y=-x-7     (2,-6)

 

Answer 1

To answer this question, we will employ the point-slope form of a line:

 

y-y1=m(x-x₁), where (x₁,y₁) are the coordinates of the given point and m is the slope of the line we are looking for.

 

So:

 

• x₁=2
• y₁=-6
• m=-1  (Note that this is the case because our intended line is parallel to the given line, so the slope should be the same)

y-y₁=m(x-x₁)

y-(-6)=(-1)(x-2)

y+6=-x+2

y=-x-4