Question

Everything crispyrat knows about coordinates!

Answer 1

Hi, so I took a little break from tutorials but now I’m back and with \(LATEX\)

Answer 2

First, what is a coordinate? A coordinate is a place on a graph. Most graph’s you’ll encounter look like this:

There are 4 quadrants. The one on the top right is the first,the one at the top left is the second,the one on the bottom left is the third and the one on the bottom right is the fourth! The horizontal line is the x axis and the vertical one is the y axis. The point \(\small\color{red}{0}\,, \small\color{blue}{0}\) on a graph is called the origin.

Answer 3

Let's say I want to graph the point \(\small\color{red}{5}\,, \small\color{blue}{4}\) on a graph. What would I do? First We locate 4 on the \(\small\color{red}{x}\) axis then we go up until the y axis point is \( \small\color{blue}{5}\). This is true for all point’s however if it was a negative \(\small\color{blue}{y}\) then you would go down until you reached the desired point.

Answer 4

To find what point something is on the graph first you go left or right until you hit the \(\small\color{blue}{y}\) axis circle that points in blue. Then go down or up from where the dot is until you hit the x axis circle that points in red. Then plot it so that the red number is first and then there's the blue number second. \(\small\color{red}{x}\,, \small\color{blue}{y}\)<--like this!

Answer 5

Now let's go onto the concept of slope! Slope is the concept of how much there is an increase or decrease between points or the unit rate. To find slope you find two points and then you minus the \(\small\color{blue}{y’s}\) and then you minus the \(small\color{red}{x’s}\). So basically the \(\small\color{blue}{change~of~y}\)\\(\small\color{red}{change~of~x}\). For example the slope of a line with the points \(\small\color{red}{9}\,, \small\color{blue}{1}\), \(\small\color{red}{18}\,, \small\color{blue}{20}\) is \(\small\color{blue}{(20-1)}\)\\(\small\color{red}{(18-9)}\)-->\(\small\color{blue}{19}\)\\(\small\color{red}{9}\). There is another more visual way that looks like this:

(credit:https://www.mashupmath.com/blog/finding-slope-of-a-line-rise-over-run)
Which the answer would be:\(\frac{y}{x}\)= \(\frac{2}{1}\)
Now to find the distance between two points you use the formula:

Answer 6

Now to find the distance between two points you use the formula:

Answer 7

(credit:https://www.onlinemath4all.com/finding-the-distance-between-two-points.html)
For example the distance between:
\(\small\color{red}{6}\,, \small\color{blue}{5}\)
\(\small\color{red}{3}\,, \small\color{blue}{9}\)
Is:
\(\small\color{red}{(3-6)~(3-6)}\)=\(\small\color{red}{-3*-3}\)=\(\small\color{red}{9}\)
\(\small\color{blue}{(9-5)~(9-5)}\)=\(\small\color{blue}{4*4}\)=\(\small\color{blue}{16}\)
\(\small\color{red}{9}\)+\(\small\color{blue}{16}\)=\(\small\color{purple}{25}\)
\(\sqrt(25)\)=\(5\)

Answer 8

Now to find the midpoint of two point’s you use the formula is

Answer 9

(credit:https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-distance-and-midpoints/a/midpoint-formula-review)
For example the midpoint between:
\(\small\color{red}{6}\,, \small\color{blue}{5}\)
\(\small\color{red}{3}\,, \small\color{blue}{9}\)

\(\small\color{red}{(3+6)}\)=\(\small\color{red}{(9)}\)=\(\small\color{red}{(9/2)}\)=\(\small\color{red}{(4.5)}\)

\(\small\color{blue}{(9+5)}\)=\(\small\color{blue}{(14)}\)=\(\small\color{blue}{(14/2)}\)=\(\small\color{blue}{(7)}\)




So the answer is
\(\small\color{red}{4.5}\,, \small\color{blue}{7}\)

That’s all for now, feel free to comet(AS LONG AS IT IS ON TOPIC)!

All my past tutorials!
https://questioncove.com/study#/updates/608f73452035c39be5ecfa0 fractions
https://questioncove.com/study#/updates/608dbe8b5b828f43d548ec00 Equations part 1
https://questioncove.com/study#/updates/608f22bc9365c25ed592c00 equations with substitution
https://questioncove.com/study#/updates/6094a4d93c88ddaa04563800
A guide to sqrt and cbrt

Answer 10

I just noticed my quadrent and slope pics were gone so give me a sec...

Answer 11

https://www.omnicalculator.com/math/midpoint <-- midpoint
https://www.calculatorsoup.com/calculators/geometry-plane/distance-two-points.php <--distance betwen two points
https://www.calculator.net/slope-calculator.html<--slope calculator

Answer 12

i spent way to long on this 😔

Answer 13

that's good to know

Answer 14

close

Answer 15

thx

Answer 16

SO smart ^^