Answer:
Therefore the co-ordinate of the point A is (-4,-3)
Step-by-step explanation:
If A(x₁,y₁) and B(x₂,y₂) is divided by a point in ration m:n internally.
Then the co-ordinate of the point is .
Given two points are P(-7,-5) and Q(5,3).
A point A on PQ, that divides PQ into a ratio of 1:3.
Since the point A lies on the PQ.
Therefore it divides the line segment PQ internally.
Here x₁= -7,y₁= -5 , x₂= 5,y₂ =3, m=1,n=3
Therefore the co-ordinate of the point A is
=(-4,-3)
y = -9
Ok so to write the equation of the line you will need the slope and y-intercept. Since we are given two-point we can easily find the slope by using this equation for slope formula:
So now that we have our equation we can just plug in the numbers:
After subtracting you should get:
0/8
Since zero is in the numerator and you can't divide zero by anything, the slope is 0. We still need the y-intercept for the equation however since the slope is 0 there is no need to put anything else.
Then to find the y-intercept all you have to do is plug in one of the coordinatines into the slope equation to solve, for example, using the point (5,-9):
B is the variable for the y-intercept. Also notice how I put 0 as our slope into the equation. Now all you have to do is solve for b. Which you would get b = -9. Since you have your slope and your y-intercept now you just write out your equatoin for the line which is:
y = 0x - 9
**Just write it as
y = -9
The asymptote of the function is y = 0.
The asymptote of the function is y = 0+4=4
Answer: y = 4