# Calculate new coordinate based on distance traveled between two other coordinates

Geographic Information SystemsContents:

## How do you find a coordinate when given the distance?

Quote from video: *Remember the distance between two points is the square root of the difference in the x-values.*

## What is the formula for calculating coordinates?

**y = mx + b**. A horizontal line has gradient 0. In a horizontal line all points have the same y-coordinate, but the x-coordinate can take any value. The equation of the horizontal line through the point (0, 5) is y = 5.

## How do you find new point coordinates from distance and angle?

If your starting point is (0,0), and your new point is r units away at an angle of θ, you can find the coordinates of that point using the equations **x = r cosθ and y = r sinθ**.

## How do you calculate coordinate from distance and bearing?

Quote from video: *The departure is calculated by L sine theta and the latitude is calculated by L cos theta. So if you know the coordinate of point a then you can get the coordinate of easting/northing.*

## How to find the missing coordinate given the distance between two points?

Quote from video: *If you know the coordinates of one point and only one coordinate of a second point you can use the distance formula to find the missing coordinate of the second.*

## How do you find the coordinates of two points?

Quote from video: *This is the x-coordinate and this is the y coordinate. And since that's the first point we're going to call it x1 y1. And then for the other point this is going to be x2 y2.*

## How do you solve coordinate problems?

Quote from video: *You can use a coordinate grid and absolute value to find the distance between two places on this grid we can see that home is located at 4:8.*

## How do you use distance formula?

Quote from video: *Negative 2 minus 4 is equal to negative 6. Now the exponents 10 squared is equal to 100. Plus negative 6 squared is equal to positive 36. And 100 plus 36 is equal to 136.*

## What is the distance between points A and B?

Quote from video:

## What are the three formula of coordinate geometry?

Some of the most important coordinate geometry class 10 formulas are provided below: **Distance Formula: D = √[(x _{2} – x_{1})^{2} + (y_{2} – y_{1})^{2} ]** Section Formula: ((m

_{1}x

_{2}+ m

_{2}x

_{1})/m

_{1}+ m

_{2}, (m

_{1}y

_{2}+ m

_{2}y

_{1})/m

_{1}+ m

_{2}) Area of Triangle = 1/2 * [ x

_{1}(y

_{2}– y

_{3}) + x

_{2}(y

_{3}– y

_{1}) + x

_{3}(y

_{1}– y

_{2}) ]

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