A line is written in the form Ax+By=0, where A and B are not both zero. Find the coordinates of the point that must lie on this line, no matter what the choice of A and B

(x, -(A/B)*x)

Step-by-step explanation:

We have the line:

A*x + B*y = 0

And we want to find the coordinates of the point that lie on this line.

Where the coordinates of a point P are written as (x, y)

The first step to do this, is to write the line in a more general way, we can do this by isolating y in the left side of the equation:

A*x + B*y = 0

B*y = -A*x

y = -(A/B)*x

Now, for a random point (x, y), if we replace the "y" by the equation above, we know that the point will also lie on the line.

This means that the coordinates of the points that lie on the line are of the form:

P = (x, -(A/B)*x)

ratio is 2 : 9

the answer is three

13.5 : 3

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.