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Sholpan [36]
2 years ago
11

Find the point-slope equation of the line with slope -3 that passes through the point (2, -10).

Mathematics
2 answers:
MatroZZZ [7]2 years ago
4 0

Answer:

Step-by-step explanation

(-y-y1)/(x-x1)= m

y-(-10)/(x-2)= -3

y= -3x -4

Gwar [14]2 years ago
4 0

Answer:

y+10=-3(x-2)

Step-by-step explanation:

First we must know the format of point-slope form.

This would be: y-y1 = m (x-x1)

Given x = 2, y = -10, and that our slope MUST be -3

Lets solve for "b" in the slope-intercept form using the variables provided to us. Remember that slope-intercept form is: y=mx+b  where "m" is the slope.

-10 = -3(2) + b

-10 = -6 + b

-4 = b

Congrats! We now have our b variable, which means we can write out our slope-intercept form for our equation. This would be:  y=-3x-4

We aren't done though, we now must convert this into point-slope form! Remember that x = 2 and y = -10

Lets plug in -3 for the "m" spot, -10 for the "y1" spot, and 2 for the "x1" spot in the point-slope equation.

y+10=-3(x-2)

(Why are we adding 10 instead of subtracting you might ask? Remeber that two negatives equal a positive; when we plugged in -10 into the "y1" spot it was already negative, it would essentially be this:  y - (-10)  which turns into a positive!)

Huzzah! We now have our equation in point-slope form which is equivalent to: y=-3x-4

Feel free to check on the Desmos graphing calculator if you wish!

If you have any questions feel free to ask! Hope this helped!

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Harrizon [31]

Answer:

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68 | 86 | 104 | 122 | 140 | 158 | 176 | 194 | 212 | 230 | 248 | 268

Step-by-step explanation:

Ok so, the top part of the table is probably going to be the number of months. The cost of the video streaming is linear and follows the equation

cost = 18*cost per month + initial cost

or

cost = 18(number of months) + 50

Using  the table which they gave, enter the number of months at the top, and enter the cost at the bottom. I've gaven the answer already. The months go to welve, and the answer goes into the bottom.

Comment on my answer if it doesn't make sense.

Thank You!

8 0
2 years ago
Which type of transformation is described by (x, y)<br> -&gt;<br> + (x + 3, y — 2)?
creativ13 [48]

Answer:

(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.

Step-by-step explanation:

Given the rule of transformation:

(x, y) → (x+3, y-2)

If we move horizontally 3 units to the right, 3 is added to the x-coordinate of any given point, and then 2 units down.

In other words,

(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.

For example,

Let say if we have the point A(4, 5)

Using the translation rule:

(x, y) → (x+3, y-2)

A(4, 5) → A'(4 + 3, 5 - 2) → A'(7, 3)

Therefore, the new position of A(4, 5) after translating 3 units left and 2 units down would be: A'(7, 3)

4 0
3 years ago
Solve ax + by = c, for b
defon

Answer:

b=c-ax/y

Step-by-step explanation:

1) ax + by = c

-ax

2) by = c - ax

3) by/y = b and c - ax/y

4) b = c-ax/y

6 0
3 years ago
Read 2 more answers
The model shown was used to find the product of two fractions: A rectangle divided into nine columns of equal size and 4 rows of
Valentin [98]

The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option <em>a</em>

a) The equation with fractions two ninths times three fourths is equal to six thirty sixths

\dfrac{2}{9} \times \dfrac{3}{4} = \dfrac{6}{36}

<h3>What is an array (area) multiplication model?</h3>

An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.

Please find attached the area model to multiply the fractions

The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;

\left(\dfrac{1}{9} +\dfrac{1}{9}\right) \times \left(\dfrac{1}{4} +\dfrac{1}{4} + \dfrac{1}{4} \right) = \dfrac{2}{9} \times \dfrac{3}{4} =\dfrac{6}{36}

The equation that the model represents is therefore;

  • The equation with fractions two ninths times three fourths is equal to six thirty sixths

Learn more about multiplication models here:

brainly.com/question/24586779

#SPJ1

8 0
1 year ago
Kara mixes different colors of paint to create new colors. The table shows the amount of paint Kara mixes per batch.
klemol [59]

Answer:

I've done this question: Its batch 5

Step-by-step explanation:

It has to be all equal proportions

4 0
2 years ago
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