Part 1: label points a, b, and c on the triangle.
given: in δabc, de is parallel to ac.

part 2: use the spaces provides below to complete a formal proof.
given: in δabc, de is parallel to ac
prove:

Step-by-step explanation:

Given parameters: In these two triangles side AC║DE and angle A is common in both the triangles.

We have to prove

As we know in two triangles if two angles are same then by AA theorem the triangles will be similar.

Since AC║DE and AB is a transverse.

Therefore ∠BDE=∠BAC

Similarly AC║DE and BC is a transverse

Therefore ∠BED=∠BCA

Here AA theorem fulfills the requirements of congruence in ΔABC≅ ΔBDE

Therefore all sides of these triangles will be in same ratio.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is