All categories

2 years ago

What is the equation of the line in slope-intercept form?

Mathematics

1 answer:

Ilya [14]2 years ago

8 0

Answer:

$\bold{y=-\frac12x}$

Step-by-step explanation:

Slope-intercept form: y = mx + b

The line intersect Y-axis at y=0 so b = 0

The line passses through points (0, 0) and (2, -1), so the slope:

$m=\dfrac{-1-0}{2-0}=-\dfrac12$

Therefore the equation:

$y=-\frac12x+0\\\\y=-\frac12x$

You might be interested in

A giant bamboo plant grew an average of 18 centimeters per year the botanist started measuring the plant when it was 5 centimete

Yanka [14]

The answer to your question would be
Height=5cm+
(18cm)*(y)

4 0

3 years ago

Expand or factor each of the following expressions to determine which expressions are equivalent.

bearhunter [10]

(3x-4y)^2=9x^2-24x+16y^2
(3x-2)(9x^2+6x+4)=27x^3-8

4 0

2 years ago

Read 2 more answers

Carmen saved 592 pennies. Her sister saved 128 pennies. Together, they put 250 pennies in wrappers and took them to the bank. Wh

Ne4ueva [31]

Answer:

500 pennies

Step-by-step explanation:

Given that

Carmen saved 592 pennies.

Her sister saved 128 pennies.

Together, they put 250 pennies in wrappers and took them to the bank

We need to find out the total number of pennies Carmen and her sister have left

So,

= 592 pennies + 128 pennies - 250 pennies

= 470 pennies

= 500 pennies

7 0

2 years ago

If two objects travel through space along two different curves, it’s often important to know whether they will collide. (Will a

galina1969 [7]

Answer:

<em>Both objects collide at t=3 in the point <9,9,9></em>

Step-by-step explanation:

<em>Collision Of Moving Objects </em>

Two objects can describe different trajectories in the space. Those trajectories can intersect in one or more points but it doesn't mean they collide. Collision occurs if they are in the same position at the same time. If we know the positions as a function of time of each object, we could try so find if, for a given time, they are in the same position.

The positions of two object are given as

$r1(t)=$

$r2(t)=$

Let's find out if there is at least one value of t that makes both positions to be the same. We can try by equating one of the three coordinates and testing if the value of t make both have the same x,y,z coordinate. Let's try equating the x-components of both

$t^2=4t-3$

Rearranging

$t^2-4t+3=0$

Factoring

$(t-1)(t-3)=0$

We found two solutions

$t=1,\ t=3$

for t=1 the x-coordinates are

$x1=t^2=1$

$x2=4t-3=1$

For t=3

$x1=t^2=9$

$x2=4t-3=9$

Now we'll test both values in the y-coordinates

$y1=7t-12$

$y2=t^2$

For t=1

$y1=-5$

$y2=1$

Thus they don't collide at t=1. Let's try t=3

$y1=7(3)-12=9$

$y2=3^2=9$

Now let's try the z-coordinate for t=3

$z1=t^2=9$

$z2=5t-6=9$

Since the three coordinates match, we can say both objects collide at t=3 in the point <9,9,9>

6 0

3 years ago

How many six-letter passwords are there that use only lowercase letters with no letter repeated?

Pani-rosa [81]

There are 26 letters of the alphabet
you want 6-character passwords without repetitionthe first time you pick a letter, you pick from 26 lettersthe second time you pick a letter, you pick from 25 letters (no repetitions !)the third time you pick a letter, you pick from 24 letters, and so onthe answer is 26*25*24*23*22*21=165,765,600 passwords

3 0

3 years ago