Using the given points and line, determine the slope (0,32) and (100,212)

To solve for the slope given two lines, use the formula:

(y₂ - y₁)

(x₂ - x₁)

Set one of the points as (x₁, y₁), and the other as (x₂, y₂).

(x₁, y₁) = (0,32)
(x₂, y₂) = (100,212)

plug into corresponding places:

(y₂ - y₁)         (212 - 32)     (180)
    =  =
(x₂ - x₁)         (100 - 0)       (100)

180/100 is your slope

If you want simplified, it will be: 9/5

hope this helps

In triangle BDE and triangle BACAngle B = Angle B (Common) Angle BDE = Angle BAC Therefore, triangle BDE is congruent to triangle BAC (AA similarity) Hence proved.

Hope it helps :)