Which of the following 3 side lengths will yield a triangle? 2cm, Зcm, 5cm
15ft 7ft, 2ft
13mi, Smi, 9mi
1km, 2 km, 3km

Let us assume that a, b and c are 3 “lengths". Also let us assume that “c’ is the longest length. Now we can say that the combined lengths of sides “a” and “b” must be greater or at least equal* to the length “c” for these lengths to be the sides of a triangle. Otherwise the opposite ends of “a” and “b” would not meet therefore being an incomplete triangle “ a gestalt in the German language”.

*If a+b=c then we would have a degenerate triangle-it would technically be a triangle but would occupy no area in a 2-D universe.

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