Find the value of x.

What is the equation for this line

pogonyaev

The equation of the line is $y=\frac{-1}{5} x-\frac{21}{5}$ .

Solution:

The points on the line are (–6, –3) and (4, –5).

$x_{1}=-6, y_{1}=-3, x_{2}=4, y_{2}=-5$

Slope of the line:

$$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$$m=\frac{-5-(-3)}{4-(-6)}$

$$m=\frac{-5+3}{4+6}$

$$m=\frac{-2}{10}$

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

Point-slope formula:

$y-y_{1}=m\left(x-x_{1}\right)$

$$y-(-3)=\frac{-1}{5}(x-(-6))$

$$y+3=\frac{-1}{5}(x+6)$

$$y+3=\frac{-1}{5} x-\frac{6}{5}$

Subtract 3 from both sides of the equation.

$$y=\frac{-1}{5} x-\frac{21}{5}$

The equation of the line is $y=\frac{-1}{5} x-\frac{21}{5}$ .

6 0

3 years ago

Please help, it is due tonight!

PolarNik [594]

21..................

4 0

3 years ago

Read 2 more answers

What is the answer to <br>3p-5>2p+p-7

svet-max [94.6K]

Step-by-step explanation:

3p−5>2p+p−7

3p−5>3p−7

3p−5−3p>3p−7−3p

−5>−7

−5+5>−7+5

0>−2

Answer:

All real numbers are solutions.

-sammy

Hope this helps u mark me as brainiest if u think its right

3 0

3 years ago

Read 2 more answers

Simplify. (2/5)^4... words to fill in minimum space

Stella [2.4K]

When you have a power to a fraction, you simply take it by the top and then by the bottm.

So, split it into two: (2)^4 and (5)^4

Solve: (2)^4=16
(5)^4=625

So the fraction is: 16/625

Check to see if it reduces: It doesn't. (Odd and even numbers that have no common multiples).

Therefore, that's the answer.

3 0

3 years ago

Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract

lisov135 [29]

Answer:

$P(X = 0) = 0.03125$

$P(X = 1) = 0.15625$

$P(X = 2) = 0.3125$

$P(X = 3) = 0.3125$

$P(X = 4) = 0.15625$

$P(X = 5) = 0.03125$

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$