All categories

3 years ago

What is the equation of the line passing through the points (-1,2) and (-2,-1)

Mathematics

1 answer:

Anna [14]3 years ago

8 0

The equation will be of the form y=ax+b, but we have to find a and b.
If you fill in the first point, you get:

2 = -a + b => b = 2+a

Second point:

-1 = -2a + b

Fill in first into second

-1 = -2a + 2 + a => -3 = -a => a=3

b = 2+a = 2+3 = 5

so the equation is

y=3x+5

Once you have this, it is safe to fill in both coordinates to double-check for mistakes.

You might be interested in

312 divided by 3 equal?

KiRa [710]

Answer: 104

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Suppose an=3an-1 -5an-2 -4an-3. and a4= -7, a5=-36, a6=-85 , find a1 , a2, a3

maria [59]

Answer:

$a_1=4\\\\a_2=0\\\\a_3=3$

Explanation:

The equation is:

$a_n=3a_{n-1}-5a_{n-2}-4a_{n-3}$

and

$a_4=-7, a_5=-36, a_6=-85$

1. Subsittute n = 6 into the equation:

$a_6=3a_{5}-5a_{4}-4a_{3}$

Now subsititute the known values:

$-85=3(-36)-5(-7)-4a_{3}$

You can solve for $a_3$

$-85=-108+35-4a_{3}\\\\4a_3=12\\\\a_3=12/4\\\\a_3=3$

2. Substitute n = 5 into the equation:

$a_5=3a_{4}-5a_{3}-4a_{2}$

Substitute the known values and solve for $a_2$

$-36=3(-7)-5(3)-4a_{2}\\\\4a_2=-21-15+36=0\\\\a_2=0$

3. Substitute n = 4 into the equation, subsitute the known values and solve for $a_1$

$a_4=3a_{3}-5a_{2}-4a_{1}$

$-7=3(3)-5(0)-4a_{1}\\\\4a_1=9+7=16\\\\a_1=4$

7 0

2 years ago

How to turn .9% into ratio

leonid [27]

Answer:

9:100

Step-by-step explanation:

Turn 9% into a fraction by putting it over a hundred:

9/100

Then simply change the '/' into ':'

If this were another fraction, let's say, 4/6, then you'd put it in simplest form, which is 2/3 = 2:3

6 0

2 years ago

What effect does multiplying a number by 1/10 have on the number?

antoniya [11.8K]

$x \times \frac{1}{10} = \frac{x}{10}$

Divides it by 10.

8 0

2 years ago

Read 2 more answers

Idk what to do here could someone help me ??

igor_vitrenko [27]

For 1 kilometer, the customary measure is 62/100 miles. The easiest way to think about this is to forget that the units are miles. Instead think of it as money. If I have $1 that means I have 100 out of 100 cents. So if I have 50 cents my fraction is 50/100; and the way we write this is 0.50... if I have 32 cents then my fraction is 32/100 and we write this as 0.32. So if you have 62 cents out of a 100, how would you write that in decimal form?

8 0

3 years ago