All categories

3 years ago

Find the equation of the line

Mathematics

1 answer:

Elis [28]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 2 ← is in slope- intercept form

with slope m = 6

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{6}$ , thus

y = - $\frac{1}{6}$ x + c ← is the partial equation

To find c substitute (6, - 2 ) into the partial equation

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = - $\frac{1}{6}$ x - 1 ← equation of line

You might be interested in

Which physical feature is shown?

alukav5142 [94]

Answer:

APPALACHIAN MOUNTAINS

HAVE A BEAUTIFUL DAY

PLEASE MARK THIS ANSWER AS THE BRAINLIEST

6 0

2 years ago

A company manufacturers video games with a current defect rate of 0.95%. To make sure as few defective video games are delivered

RSB [31]

There would be about 19 defective products delivered.

First, let's start with the number of defective games.
100000 x 0.0095 = 950

Now, the test will catch 98% of those defects. That means 2% of the defects will get through to the consumers.
0.02 x 950 = 19

3 0

3 years ago

Read 2 more answers

Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them earn up to $400 by payi

LenKa [72]

Answer:

25m + 10b = 400

Step-by-step explanation:

Total amount that can be earned = $ 400

Amount earned on mowing a lawn = $ 25

Amount earned per hour on babysitting = $10

Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m

Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b

Total amount earned = Amount earned from mowing m lawns + Amount earned from babysitting for b hours

Using the values from above, we can set up the equation as:

400 = 25m + 10b

25m + 10b = 400

This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

3 0

3 years ago

What's the lateral area of a right circular cone if the diameter of the base is 4 m and the slant height of the cone is 15m? Rou

Mekhanik [1.2K]

The formula for the lateral surface area of a right circular cone is:
$\pi rl$
where r is the radius of the base, and l is the slant height.
Plugging in the values we get:
$Lateral\ area= \pi \times \frac{4}{2} \times15\ m^{2}$

5 0

3 years ago

What is an acquisition fee?

pantera1 [17]

A lessor charges an acquisition fee to cover any expenses they incur while arranging a lease. Acquisition fees can sometimes also refer to charges and commissions that someone pays for the acquisition or purchase of property

8 0

3 years ago