Table of Contents

- 1 How do you find the slope of a line that passes through two points?
- 2 What is the slope of the line that is parallel to the given line and passes through the given point (- 1 1?
- 3 How do you find parallel lines?
- 4 What is a line that passes through parallel lines?
- 5 How do you write an equation for a line that passes through a certain point?
- 6 How do you prove lines are parallel?

## How do you find the slope of a line that passes through two points?

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.

## What is the slope of the line that is parallel to the given line and passes through the given point (- 1 1?

Explanation: Parallel lines have the same slope, so we have to find the slope of the line joining the given points first. The slope of the line parallel to this line is also 4. We now know the slope and one point of the new line.

**Do parallel lines have the same slope?**

As mentioned above, parallel lines have the same slope. So, if we know the slope of the line parallel to our line, we have it made.

### How do you find parallel lines?

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 is a line that passes through parallel lines?

Explanation: A line passing through two or more other lines in a plane is called a transversal. A transversal intersecting two parallel lines creates three different types of angle pairs.

**What is the slope of 3?**

y=3 would be nothing more than a horizontal line through y=3. So the rise is always 0 (it never goes up or down) and the run is always the distance from zero to any point on the line. In other words, the slope would be 0/the change in x, which is always 0.

#### How do you write an equation for a line that passes through a certain point?

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.

#### How do you prove lines are parallel?

If two parallel lines are cut by a transversal, then corresponding angles are congruent. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.