Hi there!
First, let's find the slope of the two points using the slope formula (y2 - y1 / x2 - x1).
S = 4 - 2 / 3 - 5
S = 2 / -2
S = -1
Next, we'll plug in the slope and a point into point-slope form (y - y1 = s(x - x1)) in order to find an equation. I will show the work using both points, which will result in two different equations.
(2,5)
y - 5 = -1(x - 2)
y - 5 = -x + 2
y = -x + 7
(4,3)
y - 3 = -1(x - 4)
y - 3 = -x + 4
y = -x + 7
The two equations came out the same! Which is completely okay, and happens sometimes.
Hope this helps!! :)
If there's anything else that you're needing help with, don't be afraid to reach out!
Answer:
See below.
Step-by-step explanation:
Composition of the functions is sometimes commutative.
Under certain circumstances, they can be the same. However, most of the time, they are not commutative.
For instance, if we have f(x)=x^2 and g(x)=x^3, then:
Most of the time, however, this won't work.
Edit: Added an example.
By definition of the trig functions,
We have 
, so 
, and 
, so 
.
Just to check: we should have
by the Pythagorean theorem. Indeed,
What you do is solve all of the equations using the coordinates given for l and m
