# How to write an equation from a graph

How to write an equation from a graph

## This Post Has 3 Comments

1. Expert says:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

ac ≅ ab (given)< cax ≅ < bax   (given)ax ≅ ax (common side)

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

ac ≅ ab (given)< cay ≅ < bay (since < cax ≅ < bax is given and xy is the extension of line ax)ay ≅ ay (common side)

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

$Use a paragraph, flow chart, or two-column proof to prove the angle congruency. given: ∠cxy ≅ ∠bxy$

It depends what type of equation you are trying to solve for.
For slope intercept form (y=mx+b)
- pick two coordinates and find the slope using the slope formula; y2-y1 over x2-x1.
- the y-intercept is usually found in (0, b) form.
After you have found the slope and the y - intercept you can finally plug in your numbers to match the formula.
Here is an example:
- My two coordinates on the line are (0,8) and (-1,5)
- 8-5 over 0--1 = 3 over 1, or 3 is my slope.
- To find the y intercept look for the pair that is found in (0,b) form which in this case is (0,8) so my y intercept is 8.
You found your slope and y intercept so your equation is y = 3x + 8
Hopefully this helped! This is how you find an equation for slope intercept form! If it is any other formula it is basically the same general steps.

3. Expert says:

11 feet 6 inches and 8 feet 6 inches