I am Desperate for answer

Write in slope intercept form an equation of the line that passes through (-2,5),(-1,1)

Juliette [100K]

Answer:

y=-4x-3

Step-by-step explanation:

Hi there!

We are given the following two points: (-2,5) and (-1,1)

We want to write the equation of the line that passes through these two lines in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope

The formula for the slope (m) calculated from 2 points is $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion

$x_1=-2\\y_1=5\\x_2=-1\\y_2=1$

Now substitute into the formula

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{1-5}{-1--2}$
Simplify

m= $\frac{1-5}{-1+2}$

Subtract

m= $\frac{-4}{1}$

Divide

m=-4

Now substitute -4 as m into the equation:

y=-4x+b

Now we need to find b

As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.

Taking (-2,5) for example:

Substitute -2 as x and 5 as y:

5=-4(-2)+b

Multiply

5=8+b

Subtract 8 from both sides

-3=b

Substitute -3 as b.

y=-4x-3

Hope this helps!

See more on this topic here: brainly.com/question/27304092

4 0

2 years ago

Domain and range of graphs

White raven [17]

Answer:the domain is every “x” coordinate and the range is the “y” coordinate

Step-by-step explanation:

If you have to tell whether it’s a function or not, all of the x values in the domain will be different for a function, and 2 or more of the same x value won’t be a function

4 0

3 years ago

19. A cross section of a water trough is in the shape of trapezoid with bases measuring 4 m and 12 m. what is the length of the

ludmilkaskok [199]

Given:

The bases of trapezoid measuring 4 m and 12 m.

To find:

The median of the trapezoid.

Solution:

The median of the trapezoid is the average of its bases.

$\text{Median}=\dfrac{\text{Upper base + Lower base}}{2}$

The bases of trapezoid measuring 4 m and 12 m. So, the median of the trapezoid is:

$\text{Median}=\dfrac{4+12}{2}$

$\text{Median}=\dfrac{16}{2}$

$\text{Median}=8$

Therefore, the correct option is C.

5 0

3 years ago

The temperature of a city is recorded at midnight on the last days of four consecutive months

Serhud [2]

Answer:

26 degrees Celcius

Step-by-step explanation:

The minimum temperature is -11

The maximum temperature is 15

to get from -11 to 0: add 11

to get from 0 to 15: add 15

11+15 = 26

6 0

3 years ago

When rolling two six faced dice, what is the probability the sum equal to seven?

Liono4ka [1.6K]

What you want is P(6∩1) or P(1∩6) or P(2∩5) or P(5∩2) or P(3∩4) or P(4∩3).
The events of rolling the dice are independent (i.e. they don't affect one another) so:
E.g.
P(6∩1) = P(6) * P(1)
P(2∩5) = P(2) * P(5)
The probability of getting a given number on a roll is 1/6 for both dice.
So:
P(6∩1) = 1/6 * 1/6 = 1/36
This is the same for any arrangement of numbers you could get from rolling two dice.
So, we can see that there are 6 arrangements of numbers that will give a sum of 7 and so that is 6 * 1/36 = 6/36 = 1/6

5 0

3 years ago

I am Desperate for answer ​

I am Desperate for answer