All categories

2 years ago

What is an equation of the line that passes through the point (-1,2) and is parallel

Mathematics

1 answer:

torisob [31]2 years ago

5 0

Answer:

y = - 3x - 1

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 )

Given

3x + y = 3 ( subtract 3x from both sides )

y = - 3x + 3 ← in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = 3 + c ⇒ c = 2 - 3 = - 1

y = - 3x - 1 ← equation of parallel line

You might be interested in

The conservation club has 32 members. There are 18 girls in the club.

guapka [62]

The amount of girls in the club is 18 out of the 32 members.
To find the amount of boys there, we subtract 18 out of 32
32 - 18 = 14
so there are 14 boys in the club

Now to find the ratio of girls to boys...
18/14
simplified to 9/7 (option D.)

Hope this helps :)

3 0

2 years ago

Read 2 more answers

The exponential decay graph shows the expected depreciation for a new boat, sell g for $3500, over 10 years.

Alisiya [41]

Okay, the exponential function is
$g = a^{x}$
The start price of it in t=0 is 3,500, as we can see on the graph. Then, the function becomes
$g = 3500^{x}$
Let's see at t=2, where the price is g=2000:
$2000 = 3500^{x}$
Take natural logarithm:
$ln 2000 = ln 3500^{x}$
$x*ln 3500 = ln 2000$
$x = \frac{ln 2000}{ln 3500} = 0.93$
So, the difference between t=0 and t=2 is
$x_{t=0} - x_{t=2} = 1 - 0.93 = 0.07$
And then we get the change of x in one year equal to 0.035.
So, the final equation is
$g = 3500^{1-0.035t}$
You can insert any t and see that it is correct, for example t=7

8 0

3 years ago

How do I show the work where 69 miles per hours is proportional to the number of hours

riadik2000 [5.3K]

<span>1. First, label the axis on your graph, with units:

time on the x-axis, in units of hours;

distance on the y-axis, in units of miles.

2. Draw a graph of distance vs. time. Distance after the first hour = 69 miles, distance after the 2nd hour = 138 miles, etc.

3. Observe that this graph is a STRAIGHT LINE with constant slope. Therefore the relationship is PROPORTIONAL.

For every other kind of graph -- i.e. not a straight line -- the relationship is NON-PROPORTIONAL.

Hope this helps. </span>

6 0

3 years ago

A typist takes 8 minutes to type 360 words.

Zigmanuir [339]

Well, it cant be option B because then it wuld be half the time (180 mins.)

It cant be option D becasue then it would be over 360 mins, seeing that it only took 8 mins to type 360

And it cant be option C beacuse it would be too small, if 4 mins is to small then 3 mins is worse

Your answer would be A 5 minutes it's just a little bit above 4 mins(half)

6 0

2 years ago

Read 2 more answers

An ant looks up to the top of a building at an angle of elevation of 32°. Then, the ant walks an additional 88 feet from the edg

Naddik [55]

Tanα=h/x, tanß=h/(x+88)

solving both for x

x=h/tanα, x=h/tanß-88, since x=x

h/tanα=h/tanß-88

h/tanß-h/tanα=88

(htanα-htanß)/(tanα*tanß)=88

h(tanα-tanß)/(tanα*tanß)=88

h=88(tanα*tanß)/(tanα-tanß)

Since α=32 and ß=22...

h=88(tan32*tan22)/(tan32-tan22)

h≈85.3 feet

8 0

3 years ago