c. Write the equation of the line that passes through the given points in general form.
1. (2, 1), (-2,-3)
2. (7, -6), (-7, 12)
3. (-4, 2), (-2, 1)
4. (4, 5), (-2,-4)
5. (5,3), (2,-3)
Answers
To Find :
The equation of the lin e which pa ss through these poin ts.
1] (2,1) ; (-2,-3)
2] (7,-6);(-7,12)
3] (-4,2) ; (-2,1)
4] (4,5) ; (-2,-4)
5] (5,3) ; (2,-3)
Solution :
1]
OK, so will check the equation through which (2,1) can pas s .
They can be :
x-1 = y
y = x/2
Now, we will check through which (-2,-3) can pas s .
They can be :
x-1 = y
x = 2/3 y
As we can see that both have a common equation ie. x-1 = y,
hence, the equation for line can be
x-1 = y
See the attachment 1
2]
We will now check for which equation can (7,-6) fit s best :
-x+1 = y
y = -1.29x+3
Now, we will check for which equation can (-7,12) fi t best.
-x+5 = y
y = -1.29x+3
As we can see that both poi nt have a common equation ie.
y = -1.29x+3
3]
We will check that which line pas sing through (-4,2)
these can be :
-x/2 = y
y = x+4
We will check that which line can pas s through (-2,1)
these can be :
-x/2 = y
y = x+3
As we can see both have a common lin e
ie. -x/2 = y
4]
As above similar ly we will find the line which pas s through (4,5) and (-2,-4)
The lin e is y = 1.5x+1
5]
Similar ly, the lin e which pas s from (5,3) and (2,-3) is :
the Lin e is y = 2x-7
