What is the equation of the line that passes through the points (0.8, 0.2) and (0.5, 1.5)

We can write the equation of line in the form

y=mx +b

where m is slope , and b is y intercept

Now the slope formula is

let's plug the points in the formula to find slope

m=

So we get equation as

Now we have to find the value of b also

to find the value of b , we can plug any one point

So the equation is

Okay so i made an extra account just to put this, I answered my own question...

Step-by-step explanation:

Part A — Triangle DGE is similar to DGF.

Part B — Both triangles has a 90-degree angle, with G. The triangles are congruent with each other. So, Side-Angle-Side (SAS) Similarity Postulate, helps me prove the two triangles are similar. 

Part C — The given is EG = 2 and EF = 8. The EF measurement is not needed in this equation because the question is not asking for the larger triangle. So, GD has to be 2, because G is 90-degrees, and so, taking the 2 able doubling it to 4, while remembering that a triangle is 180 degrees, so that would make ED 4 too, because it is the other 90 degrees; they need to be equal. So, ED = 4

OR

Taking the EF = 8 into mind, I think of the fact that D is 90 degrees. So, again, that needs to be doubled to 180 for the full triangle. Both sides should equal to 8, so for the ED to be solved, 8 will be divided in half. The answer is ED = 4

It has not been graded yet so I am not 100 percent sure. If you are gonna use my work, please please please reword it as much as you can. Trust me when I say the plagiarism is caught immediately. Good Luck Guys!!