Which of the following is the equation of a line perpendicular to the line, , passing through the point (3,9)?

1 answer:

5 0

Y = -3/2x + 4...slope is -3/2
A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So that means the slope we will need is 2/3...see how I flipped the slope and changed the sign.
Now we use y = mx + b....slope(m) = 2/3....(3,9)...x = 3 and y = 9.
Time to sub...we r looking for b, the y intercept.

9 = 2/3(3) + b
9 = 2 + b
9 - 2 = b
7 = b

so the perpendicular equation is : y = 2/3x + 7...but we need it in Ax + By = C form....
y = 2/3x + 7....multiply by common denominator of 3 to get rid of fractions
3y = 2x + 21...subtract 2x from both sides
-2x + 3y = 21....<== ur answer...normally, I would have multiplied this by -1 to make x positive...but that is not an answer choice

You might be interested in

1. The factors of a2 - 9 are

Mazyrski [523]

Answer:

Step-by-step explanation:

1. (a+3)(a-3) = a²+3a-3a-9 = a²-9

2. a linear equation consists of a polynomial of degree one.

5 0

2 years ago

Nth term of 1 8 15 22 29

k0ka [10]

This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=first term, d=common difference, n=term number.

We know a=1 and d=7 so:

a(n)=1+7(n-1)

a(n)=1+7n-7

a(n)=7n-6

The above is the "rule" for the nth term.

8 0

2 years ago

Read 2 more answers

Mr dambek had $90 to spend at the bulls game he spent 31/45 on his ticket the. He spent 3/7 of his remaining money at the conces

slavikrds [6]

Answer:

He does not have enough money to buy the hat.

Step-by-step explanation:

First find out how much he spent on the ticket:

$90 \times {31 \over 45}=2 \times 31=62$