All categories

3 years ago

Find the equation of a line passing through the point(-3,0) and (2,-3)

Mathematics

2 answers:

liq [111]3 years ago

7 0

Answer:

y = -3

Step-by-step explanation:

Svetradugi [14.3K]3 years ago

5 0

Answer (assuming the question allows it to be written in slope-intercept form):

$y = -\frac{3}{5} x-\frac{9}{5}$

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ , substitute the given points' x and y values, and simplify:

$m = \frac{(-3)-(0)}{(2)-(-3)} \\m =\frac{-3-0}{2+3}\\m = -\frac{3}{5}$

Thus, the slope is $-\frac{3}{5}$ .

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ and substitute real values for $m$ , $x_1$ , and $y_1$ .

Since $m$ represents the slope, substitute $-\frac{3}{5}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line crosses, use the x and y values of any one of the given points to substitute into the formula. (Either one is fine. I chose (2,-3).) Then, isolate y to put it into slope-intercept form and find the answer:

$y-(-3) = -\frac{3}{5} (x-(2))\\y + 3 = -\frac{3}{5} x + \frac{6}{5} \\y = -\frac{3}{5} x - \frac{9}{5}$

You might be interested in

Reflect (2, -3) over the x-axis, what is the NEW ordered pair after it is reflected?

Agata [3.3K]

Answer:

2, 3

Step-by-step explanation:

4 0

3 years ago

The probabilities that stock A will rise in price is 0.59 and that stock B will rise in price is 0.41. Further, if stock B rises

Reil [10]

Answer:

1) 0.75

2) No, the 2 events are not mutually exclusive because P(A&B) ≠ 0

3)The 2 events are not independent because P(A | B) ≠ P(A).

Step-by-step explanation:

1) P(A) = 0.59 and P(B) = 0.41

Thus; to find the probability that at least one of the stocks will rise in price;

P(A or B) = P(A) + P(B) - P(A&B)

Now, we know that if B rises in price, the probability that A will also rise is 0.61 i.e P(A|B) = 0.61

Hence;P(A & B) = P(A|B) x P(B) =0.61 x 0. 41 = 0.25

So P(A or B) = 0.59 + 0.41 - 0.25 = 0.75

B) we want to find out if events A and B are mutually exclusive ;

P(A|B) = P(A&B)/P(B), For the events to be mutually exclusive, P(A&B) has to be zero. Since P(A&B) ≠ 0,the 2 events are not mutually exclusive.

C) Since P(A|B) = 0.61 and P(A) is 0.59. Thus, P(A | B) ≠ P(A).

So, therefore the 2 events are not independent.

8 0

3 years ago

What are the square roots of 64/144 ?

nordsb [41]

Answer: third option

Step-by-step explanation:

To solve the problem you must apply the proccedure shown below:

- Descompose the numerator and the denominator of the given fraction into its prime numbers:

$64=2*2*2*2*2*2\\144=2*2*2*2*3*3$

Then you can rewrite:

$64=2^6\\144=2^4*3^2$

Then:

$\±\sqrt{\frac{{2^6}}{{2^4*3^2}}}=\±\frac{2^3}{2^2*3}=\±\frac{8}{4*3}=\±\frac{8}{12}$

Therefore, the answer is: $-\frac{8}{12}\ and\ \frac{8}{12}$

4 0

4 years ago

Read 2 more answers

An appliance manufacturer stockpiles washers and dryers in a large warehouse for shipment to retail stores. Sometimes in handlin

Over [174]

Answer:

This is strong evidence that more than 2% get damaged

Step-by-step explanation:

The company goal is to keep the proportion of damaged machines below 2%

$H_o: p = 0.02$

$H_a: p > 0.02$

One day an inspector randomly checks 66 washers and finds that 6 of them have scratches or dents

So, x = 6

n = 66

$\widehat{p}=\frac{x}{n}$

$\widehat{p}=\frac{6}{66}$

Formula : $z=\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

$z=\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

$z=\frac{\frac{6}{66}-0.02}{\sqrt{\frac{0.02(1-0.02)}{66}}}$

$z=4.114$

So, the value of test statistic is 4.114

2) What is the P-value of the test statistic?

So, p value using calculator = .00002

p value < α

So, we accept the alternate hypothesis

So, This is strong evidence that more than 2% get damaged

8 0

3 years ago

How many solutions does this system have? y=5x-1 y=-3x+7 The system has solution(s).

Hatshy [7]

Answer: infinitely many

Step-by-step explanation:

5 0

4 years ago

Find the equation of a line passing through the point(-3,0) and (2,-3)​

Find the equation of a line passing through the point(-3,0) and (2,-3)