Answer:

Step-by-step explanation:
Let the line is
where
is slope and
is
.
The line is parallel to
, slope of both the lines will be same.
Find the slope of 

Slope of line

So the line will be 
It passes through
.

Hence the line is 

Answer:
See explanation
Step-by-step explanation:
Consider triangles CAX and BAX. In these triangles,
- given
- given
- reflexive property
By SAS postulate, 
Congruent triangles have conruent corresponding parts. So,

Consider triangles CXY and BXY. In these triangles,
- proven
- given
- reflexive property
By SAS postulate, 
Congruent triangles have conruent corresponding parts. So,

Answer:For these, n is equal to the term you want. So you substitute the number in for whichever term you want. This means:
a) 1 (1st term) + 5 = 6
2 (2nd term) + 5 = 7
3 (3rd term) + 5 = 8
4 (4th term) + 5 = 9
10 (10th term) + 5 = 15
And so on for b (not going to keep writing the term, I’m sure you get that by now.
b) 2(1) - 1 = (2x1) - 1 = 1
2(2) - 1 = (2x2) - 1 = 3
2(3) - 1 = (2x3) - 1 = 5
2(4) - 1 = (2x4) - 1 = 7
2(10) - 1 = (2x10) - 1 = 19
Hope this helps :)
Answer:
<u>Point C at (-18/7)</u>
Step-by-step explanation:
Point A is at -6 and point B is at 2.
So, the distance between A and B = 2 - (-6) = 8
point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.
Let the distance AC = x
∴ BC = 8 - x
AC : CB = 3 : 4
∴
Using cross multiplication
3 (8-x) = 4x
24 - 3x = 4x
24 = 7x
x = 24/7
So, Point C = -6 + 24/7 = -18/7
Point C at (-18/7)