determine wheter the lines are parallel, perpendicularm or neither. Explain them if u dont mind?

Question

A little rusty on math go figure im trying to join a high school math club
y-x= -10
y-4= x+5

Answer 1

WEll this is a pretty easy a question
you just need to know 1 concept,

this is knowing that the product of 2 slopes of 2 equations MUST be -1

Y-x=-10
y=-10+x
slope is 1


y-4=x+5
Y=x+9
slope is 1 also

1*1= 1 so its not =-1
Slopes are not perpendicular
So the slopes are parallel

HOPE THIS HELPS
i answered first so, hopes on best answer

Answer 2

Nissi Summers has it right, except for one small detail: perpendicular lines have slopes that are the negative inverse of each other.

parallel:
y = mx + c
y = mx + d
(this is the case here with c = -10 and d = +9)

perpendicular:

y = mx + c
y = (-1/m)x + d

any other case is "neither"

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To find if two lines intersect, solve for a common point:

y = mx + c
y = nx + d

nx+d = mx+c
nx-mx = c-d
(n-m)x = c-d
x = (c-d) / (n-m)

If n-m = 0, then x does not exist (because the lines do not intercept -- they are parallel)

If c-d=0 AND n-m=0, then x=0/0 which means that x can have any value (meaning: the two lines are "intersecting" everywhere -- they are the same line). In many problems, two lines that are identical are considered "parallel" even though they "touch" everywhere.

Answer 3

put the equations in the form y = mx b

y = x -10

y = x + 9

m is the coeeficient of x and is numerically equal to the slope of the line. since the coefficient of x in each case is 1 that means both lines have a slope of 1. since the slopes are equal the lines are parallel.

Answer 4

If they are parallel, they have the same slope.

If they are perpendicular, you can multiply the slopes together to get -1. That is, one slope is the negative reciprocal of the other.

Put them in a form mx+b:
y = x-10
y = x+9

They have the same slope but different y-intercept; thus, they never intersect and are parallel.

Answer 5

if u hav a slope of a line...let's say 5/2. a line parallel would hav a slope of 5/2. paallel means the never intersect or touch. a line perpendicular to the original line (slope with 5/2) would have a slope of -2/5.. perpindicular means they intersect at a 90-degree angle

Answer 6

y-x=-10
y-4=x+5

y-x=10
y=x+10


y-4=x+5
y=x+9

Since y=mx+b, where m is the slope and b is the y intercept. these lines are parallel..

Answer 7

these lines are parallel. set your equations to y=
then you will have y=x+10
and y=x+9
now, find your coordinates and you will see that they are parallel.