All categories

2 years ago

Find the slope of each.1. (0, 4) and (2, -3)

Mathematics

1 answer:

olga55 [171]2 years ago

3 0

Answer:

slope = -3.5

Explanation:

The points we have are:

$\begin{gathered} (0,4) \\ (2,-3) \end{gathered}$

We have to label the coordinates as follows:

$\begin{gathered} x_1=0 \\ y_1=4 \\ x_2=2 \\ y_2=-3 \end{gathered}$

And now we use the formula to calculate the slope between the points:

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

We substitute the known values:

$m=\frac{-3-4}{2-0}$

And solve the operations to find the slope "m" between the points:

$\begin{gathered} m=\frac{-7}{2} \\ m=-3.5 \end{gathered}$

Answer: slope = -3.5

You might be interested in

Help with math please.

lys-0071 [83]

Hello,

The rate of change is the slope (rise/run, y/x). To find that, we use the equation (y2-y1) over (x2-x1). It means take the second "y" and subtract it from the first "y" and the same to "x". If I plug in the numbers, it would be (3-6) over (5-4), and after you subtract, the answer simplifies to: -3/ 1 which is -3. Yay! We got the slope (rate of change) done.

Now let's find the y-intercept by using the formula of point-slope form,
y-y1= m (slope) (x-x1). This is saying you "y" is subtracted from the first
"y" of the points which equals the slope (m) times the quantity of "x" subtracted by the first "x" of the points.

Let's plug the numbers in: y-6 = -3 (x-4). Let's distribute -3 to the parenthesis, and after that it should simplify to: y-6 = -3x + 12. To get "y" by itself, add 6 to both sides: y = -3x +18. We have finally found the slope-intercept equation for those two points (4,6) and (5,3). To then find the y-intercept in this equation, it would be the 18, because -3 is the slope, so that makes 18 the y-intercept.

In conclusion, the rate of change is -3 and the y-intercept is 18.

I hope this helps!

May

3 0

3 years ago

Read 2 more answers

Help I need help right now pls someone and thanks

wariber [46]

C because i took the test

3 0

3 years ago

Read 2 more answers

How can I simplify/rewrite the 1st(top) equation into the 2nd(Botton),please show a step by step solution.

Vaselesa [24]

Answer:

see below

Step-by-step explanation:

$-2(4 - \frac{x}{2} )^{5} + C$

Think of the above as:

$-\frac{2}{1}$ * $(\frac{8}{2} - \frac{x}{2} )^{5} + C$

= $-\frac{2}{1}$ * $\frac{(8 - x)^{5}}{2^{5}} + C$

= $-\frac{2}{1}$ * $\frac{(8 - x)^{5}}{32} + C$

= $-\frac{1}{1}$ * $\frac{(8 - x)^{5}}{16} + C$

= $\frac{-1(8 - x)^{5}}{16} + C$

= $\frac{(-8 + x)^{5}}{16} + C$

Can flip it around to be...

$\frac{(x - 8)^{5}}{16} + C$

4 0

3 years ago

Sal recorded the number of crackers in each snack-sized package he opened. Which statement must be true according to the box plo

Marina CMI [18]

Answer:

The data is skewed, and the lowest number of crackers in a package was 7

Step-by-step explanation:

Hi,

First of all, since the question was incomplete due to the missing capture of the range shown on the box plot. I attached it for you so I could answer your question as well.

Taking into consideration the attached image's information, symmetric would be right down the middle, but it is not.

The image shows that it is <em>positively skewed with the lowest number being 7.</em>

7 0

3 years ago

Read 2 more answers

A student solved this problem by working backwards. Joani has some stuffed animals. She has 2 times as many as Lily. Lily has 6

kramer

3x4=12 gives him 12 baseballs. he has 5 fewer tennis balls than base balls so you subtract 5 from 12 and you get 7 tennis balls.

5 0

3 years ago