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)
Answer:
the correct options are:
(–1, 3), (–2, 2) and (–5, –1)
Step-by-step explanation:
Given that a line passes through two points
A(-2, -4) and B(4, 2)
Another point P(0, 4)
To find:
Which points lie on the line that passes through P and is parallel to line AB ?
Solution:
First of all, let us the find the equation of the line which is parallel to AB and passes through point P.
Parallel lines have the same slope.
Slope of a line is given as:
Now, using slope intercept form () of a line, we can write the equation of line parallel to AB:
Now, putting the point P(0,4) to find c:
So, the equation is
So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.
So, the correct options are:
(–1, 3), (–2, 2) and (–5, –1)