SOLUTION: Determine whether the graphs of the pair of lines are parallel. x + 9 = y y-x= -5 For the first x +9 = y I subtract 9 from both sides (I think) to leave me with x= y

SOLUTION: Determine whether the graphs of the pair of lines are parallel. x + 9 = y y-x= -5 For the first x +9 = y I subtract 9 from both sides (I think) to leave me with x= y - 9 So w

Question 359493: Determine whether the graphs of the pair of lines are parallel.
x + 9 = y
y-x= -5
For the first x +9 = y I subtract 9 from both sides (I think) to leave me with x= y - 9
So would the slope of the line be -9?
For y -x = -5 I will add the x to each side to give me y = x - 5
Would the slope of this line be -5?
Thank you for your help
Answer by neatmath(302) (Show Source): You can put this solution on YOUR website!
To find the slope of the lines, just solve for y and get them in the form where m is the slope of the line, and b is the y-intercept.

For the first line, if we solve for y we get as given

The slope of this line is 1, and the y-intercept is 9

For the second line, if we solve for y we get

The slope of this line is also 1, and the y-intercept is 5

When 2 lines have the same slope, but have different y-intercepts, they are by definition, parallel lines!

The two lines have the same slope, but different y-intercepts, thus they are parallel!

I hope this helps!

RELATED QUESTIONS
determine whether the graphs of the lines are parallel and show your work. x+9=y and... (answered by grishma.kshatriya)

Determine whether the graphs of the pair of lines are parallel. x+9=y y-x=-5 Answer: (answered by mananth)

determine whether the graphs of the pair of lines are parallel. x+13=4... (answered by jim_thompson5910)

Determine whether the graphs of the lines are parallel. x + 13= y y-x = -9 What is... (answered by oberobic)

Tell whether the graphs of the pair of equations are parallel, perpendicular or neither. (answered by scott8148)

Determine whether the graphs of the pair of lines are parallel. x + 9 = y y - x = -5... (answered by Fombitz)

Determine whether the graphs of the pair of parallel lines are parallel x + 8 = y y-x (answered by Gogonati)

I am having a very hard time understanding this, can you please help? Determine... (answered by checkley77,nerdybill)

determine whether the graphs of the pair of lines are parallel. x + 6 = y y - x = -2 (answered by stanbon)