# How to create a perpendicular line

### How do you find the perpendicular line of an equation?

**Perpendicular lines**have opposite-reciprocal slopes, so the slope of the

**line**we want to

**find**is 1/2. Plugging in the point given into the

**equation**y = 1/2x + b and solving for b, we get b = 6. Thus, the

**equation**of the

**line**is y = ½x + 6. Rearranged, it is –x/2 + y = 6.

### How do you draw a perpendicular from a point outside the line?

**Construct perpendicular**to a**line**from a given**point outside the line**– diagram-
**draw**a**line**. - take a
**point**A**outside the line**. - From A
**draw**equidistant arcs to cut the**lines**. - From D and E
**draw**two equidistant arcs on the opposite side of**line**. - mark intersecting
**point**of two arcs asF. - join A and F.

### How do you find the slope of a perpendicular line?

Step 1:

**Find the slope**of the**line**. To**find the slope**of the given**line**we need to get the**line**into**slope**-intercept form (y = mx + b), which means we need to solve for y: The**slope**of the**line**4x – 5y = –10 is m = 4/5. Therefore, the**slope**of the**line perpendicular**to this**line**would have to be m = –5/4.### What is the slope of two perpendicular lines?

If

**two lines**are**perpendicular**, the**slopes**are negative reciprocals. (The product of the**slopes**= -1.) since their**slopes**of 0 have undefined reciprocals. Vertical and horizontal**lines**are**perpendicular**.### How do you determine if two lines are parallel?

We can

**determine**from their**equations whether two lines are parallel**by comparing their slopes.**If**the slopes are the same and the y-intercepts are different, the**lines are parallel**.**If**the slopes are different, the**lines**are not**parallel**. Unlike**parallel lines**, perpendicular**lines**do intersect.### What are five ways to prove two lines are parallel?

**Ways to Prove Two Lines Parallel**- Show that corresponding angles are equal.
- Show that alternative interior angles are equal.
- Show that consecutive interior angles are supplementary.
- Show that consecutive exterior angles are supplementary.
- In a plane, show that the
**lines**are perpendicular to the same line.

### What does it mean if two lines are parallel?

**Definition**: We

**say**that

**two lines**(on the same plane) are

**parallel**to each other

**if**they never intersect each other, ragardless of how far they are extended on either side. A transversal of

**two**(or more)

**lines**is another

**line**that intersects the

**two lines**.

### When two lines are parallel what is the solution?

When the

**lines are parallel**, there are no**solutions**, and sometimes the**two**equations will graph as the same line, in which case we have an infinite number of**solutions**.### Why do parallel lines have no solution?

**Parallel Lines**: If the two linear equations

**have**the same slope (and different y-intercepts), the

**lines**will be

**parallel**. Since

**parallel lines**never intersect, a system composed of two

**parallel lines**will

**have NO solution**(

**no**intersection of the

**lines**.)

### Can parallel lines touch?

**Parallel**& Intersecting

**lines**Two

**lines**in the same plane will always

**intersect**unless they are

**parallel**.

**Parallel lines**are

**lines**that are always the same distance apart and they never

**intersect**.

### What do parallel lines have?

**Parallel lines have**the same slope and will never intersect.

**Parallel lines**continue, literally, forever without touching (assuming that these

**lines are**on the same plane). On the other hand, the slope of perpendicular

**lines are**the negative reciprocals of each other, and a pair of these

**lines**intersects at 90 degrees.

### Which two lines are equidistant and will never meet?

Parallel

**lines are equidistant lines**(**lines**having**equal distance**from each other) that**will never meet**.### What do we call the two lines that never meet?

**Two lines**, both in the same plane, that

**never intersect are called**parallel

**lines**. Parallel

**lines**remain the same distance apart at all times.

### What is the angle between parallel lines?

**Angles**that are in the area

**between**the

**parallel lines**like

**angle**2 and 8 above are called interior

**angles**whereas the

**angles**that are on the outside of the

**two parallel lines**like 1 and 6 are called exterior

**angles**.

**Angles**that are on the opposite

**sides**of the transversal are called alternate

**angles**e.g. 1 + 8.

### What do parallel lines look like?

**Parallel lines look like**railroad tracks: they are always the same distance apart, running next to each other. The

**lines do**intersect. Next, determine if the

**lines**intersect at a right angle. The

**lines do**not intersect at a right angle.

### How do you solve an angle with parallel lines?

### Can two parallel lines meet each other?

In projective geometry, any pair of

**lines**always intersects at some point, but**parallel lines do**not**intersect**in**the**real plane. This completes**the**plane, because now**parallel lines intersect**at a point which lies on**the line**at infinity.### Do parallel lines meet at a 30 degree angle?

No,

**parallel lines do**not**meet at a 30**°**angle**. In fact,**parallel lines**don’t**meet**at all!### What is it called where two lines intersect?

**Two lines intersect**when they

**cross each other**. The point where the

**lines intersect**is

**called**the point of

**intersection**. If the angles produced are all right angles, the

**lines**are

**called**perpendicular

**lines**. If

**two lines**never

**intersect**, they are

**called**parallel

**lines**.

### Do parallel planes intersect?

**Parallel planes**are two

**planes**that

**do**not

**intersect**.

### Can 3 planes intersect in one line?

all

**three planes**form a cluster of**planes intersecting in one**common**line**(a sheaf), all**three planes**form a prism, the**three planes intersect in a single**point.### Can 2 planes be skew?

**Two**lines that both lie in the same

**plane**must either cross each other or be parallel, so

**skew**lines

**can**exist only in three or more dimensions.

**Two**lines are

**skew**if and only if they are not coplanar.

### What happens if two planes are perpendicular to the same line?

Coplanar Right Angles Slopes are

**opposite**reciprocals Page 2 In a**plane**,**if two lines**are**perpendicular to the same line**, then they are**parallel**to**each other**.**If**the left side is**perpendicular**to the top, and**if**the top is**perpendicular**to the right side, then the left side is**parallel**to the right side.