What is the equation of a line perpendicular to the line y=(4/9)x-2 that passes through the point (4,3)?

1 answer:

3 0

y=(4/9)x-2
This is in slope intercept form (y=mx+b), where m is the slope.
A perpendicular line will have the opposite reciprocal of the slope.
So if the slope here is 4/9, then the perpendicular line's slope will be -9/4.

Now that you have the slope (-9/4) and a point (4, 3), you can use the point-slope formula to find the equation.
y - y₁ = m(x - x₁)
y - 3 = (-9/4)(x - 4)
y - 3 = (-9/4)x + 9
y = (-9/4)x + 12

So the answer will be:
C. y= -(9/4)x+12

You might be interested in

An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the

DedPeter [7]

The inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground is:

$d = -16t^2 + 1000$

Solution:

The object falls, its distance, d, above the ground after t seconds, is given by the formula:

$d = -16t^2 + 1000$

To find the time interval in which the object is at a height greater than 300 ft

Frame a inequality,

$-16t^2 + 1000 > 300$

Solve the inequality

Subtract 1000 from both sides

$-16t^2 + 1000 - 1000 > 300 - 1000\\\\-16t^2 > -700$

$16t^2 < 700\\\\Divide\ both\ sides\ by\ 16\\\\t^2 < \frac{700}{16}\\\\Take\ square\ root\ on\ both\ sides\\\\t < \sqrt{\frac{700}{16}}\\\\t < \pm 6.61$

Time cannot be negative

Therefore,

t < 6.61

And the inequality used is: $-16t^2 + 1000>300$

6 0

3 years ago

1/2(4y + 18) + 2 simplified

Vanyuwa [196]

Answer: 2y+11

Step-by-step explanation:

I hope this helps<3

3 0

3 years ago

Imagine each letter of the word ""mathematical"" is written on individual pieces of paper and placed in a bag. Should you pick a

Aleksandr-060686 [28]

Answer:

The question has a missing part and here it the complete question:

Imagine each letter of the word “Mathematical” is written on individual pieces of paper and placed in a bag. Should you pick a random letter from that bag, what is the probability that you pick a vowel?

Answer: 5/12

Step-by-step explanation:

The question asks for the probability of picking a vowel.

From the word 'Mathematical', we have a total of 12 letters and a total of 5 vowels (a,e,a,i,a).

Probability of picking a vowel = Total number of times the event(vowel) occurs/total number of possible outcomes(total letters)

$Probability = \frac{5}{12}$