State whether the graphs of the following equations are parallel, perpendicular, or neither.?

Question

x + y = 5
x - y = 5


2y + 3x = 5
3y - 2x = 5


2y + 3x = 5
3y + 3x = 5


1/2x + 1/3y =2
2x - 3y = 4

Answer 1

Find out the slope of each of the lines by xxpressing in the form:
y = m* x+c
m is the slope
If the product of the slopes is -1 then the lines are perpendicular.

1.perpendicular
2.perpendicular
3.neither
4.niether. since one is a rectangular hyperbola.

Answer 2

The technique is this:

If the two equations are
ax + by = c and
dx + ey = f

Then,

1)
If a/d = b/e, then the two graphs are parallel

2)
If ad/be = -1, then the two graphs are perpendicular

3)
If a/d ≠ b/e and ad/be ≠ -1, then the two graphs are neither parallel nor perpendicular.

^_^

Examples:

x + y = 5
x - y = 5

Since
(1)(1)/(1)(-1) = -1, then the two lines are perpendicular



2y + 3x = 5
3y - 2x = 5

Since (2)(3)/(3)(-2) = -1, then the two lines are perpendicular


2y + 3x = 5
3y + 3x = 5

Since (2)(3)/(3)(3) ≠ -1 and 2/3 ≠ 3/3, then they are neither parallel nor perpendicular



1/2x + 1/3y =2
2x - 3y = 4

Since (1/2)(2)/(1/3)(-3) = -1, then the two lines are perpendicular.

^_^

Answer 3

Parallel equations have the comparable slope, perpendicular equations have slopes that are reciprocal (i.e. a million/2 and -2) and nor is merely whilst 2 have completely diverse slopes. a million) Neither. via fact 2x+3y=4 will become y=-2/3x+4/3 having the slope of -2/3 jointly as 3x+2y=6 will become -3/2x+3 having the slope of -3/2 meaning that those slopes are diverse (no longer even reciprocal via fact they are nonetheless damaging). 2) Perpendicular. I won't clarify this one with plenty element yet a million/2x+2y=a million has a -a million/4 slope and 4x-y=3 has a 4 slope so as that they are reciprocal meaning they are perpendicular. 3) Parallel. comparable slope (2/3) 4) ok. y-7=0 will become y=7 (horizontal line) and 3x=5 will become x=5/3 (vertical line) meaning that they are perpendicular. wish this enables

Answer 4

They are parallel if the slopes, when written in y=mx+b form, are the same. They are perpendicular if the slope of one line is -1 divided by the slope of the other (that is, m1 = -1/m2).

You should figure them out yourself, or you will derive no benefit from your homework.

Answer 5

Calculate the slope to get the answer.

If the slope of the two lines are negative reciprocals of each other, the lines are perpendicular.

If the slopes are the same, but there is a different y intercept, they are parallel.

Perpendicular
Perpendicular
Neither
Perpendicular

Answer 6

First pair, lines are parallel
Second pair, lines are perpendicular
Third pair, no relation between the lines
Fourth pair, lines are perpendicular

Answer 7

1.Perpendicular
2.Perpendicular
3.Neither
4.Perpendicular

Answer 8

perpendicular


perpendicular


neither


neither