<u>Answer:</u>
The point-slope form of the line that passes through (5,5) and is perpendicular to a line with a slope of 
is 4x + y -25 = 0
<u>Solution:</u>
The point slope form of the line that passes through the points 
and perpendicular to the line with a slope of “m” is given as
---- eqn 1
Where “m” is the slope of the line. 
are the points that passes through the line.
From question, given that slope “m” =
Given that the line passes through the points (5,5).Hence we get
By substituting the values in eqn 1 , we get the point slope form of the line which is perpendicular to the line having slope can be found out.
y - 5 = -4(x - 5)
y - 5 = -4x + 20
on simplifying the above equation, we get
y - 5 + 4x -20 = 0
4x + y - 25 = 0
hence the point slope form of given line is 4x + y - 25 = 0
9n + 27 = 7n -3
2n + 27 = -3
2n = -30
n = -15
Choice a:
The order pair given is (<span>1, 3)
y-4x = 3-4(1) = -1
-1 is greater than -6
Therefore, this choice is wrong
Choice b:
</span>The order pair given is (-2, -14)
y-4x = -14-4(-2) = -6
-6 is equal -6
Therefore, this choice is correct
Choice c:
The order pair given is (-1, -9)
y-4x = -9-4(-1) = -5
-5 is greater than -6
Therefore, this choice is wrong
Choice d:
The order pair given is (3, 5)
y-4x = 5-4(3) = -7
-7 is less than -6
Therefore, this choice is correct
Choice e:
The order pair given is (0, -5)
y-4x = -5-4(0) = -5
-5 is greater than -6
Therefore, this choice is wrong
Ok so
area=1/2 times base times height
lets say base and height=3 for one triangle and
base and height=6 for another
area1=1/2 times 3 times 3=9/2
area2=1/2 tmes 6 times 6=18
areas are
9/2 to 18=9:36=1:4
3:6=1:2
is 1:2=1:4? no
ratio is 1:4
