In order to find the slope intercept form of the given coordinates above (-6,-3)(-9,-2) then you need to use the point slope formula :y-y1=m(x-x1) .now allyou have to due is to label each of the given coordinates x1,y1 and x2 ,y2.This will help with the differentiation of the given coordinates.Once you have done this apply the info within the formula ,and you will get an answer of :y= -1/3x - 5 ,and of course your slope is -1/3 and the y-intercept is -5 .

6 0

2 years ago

Solve the equation. –x 8 3x = x – 6 x = –18 x = –14 x = 2 x = 4

LenKa [72]

The value of the variable x in the equation –x + 8 + 3x = x – 6 is - 14.

<h3>How to find variable in an equation?</h3>

The variables of an equation can be found as follows:

–x + 8 + 3x = x – 6

The variable in the equation is x.

Therefore,

–x + 8 + 3x = x – 6

combine like terms on the left side

-x + 3x + 8 = x - 6

2x + 8 = x - 6

subtract x form both sides of the equation

2x - x + 8 = - 6

x + 8 = -6

subtract 8 from both sides

x = -6 - 8

x = - 14

learn more on equation here: brainly.com/question/1347990

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3 0

1 year ago

Given that k is a positive integer. Find, in terms of k, an expression for Sn, which is the sum of the integers from 2k to 4k in

Elden [556K]

Answer:

$S_n=3k\cdot (2k+1)=6k^2 +3k$

Step-by-step explanation:

k is a positive integer.

Consider an arithmetic sequence:

$a_1=2k\\ \\a_n=4k\\ \\d=1$

First, find n:

$a_n=a_1+(n-1)\cdot d\\ \\4k=2k+(n-1)\cdot 1\\ \\2k=n-1\\ \\n=2k+1$

Now, find the sum of these 2k+1 terms:

$S_n=\dfrac{a_1+a_n}{2}\cdot n\\ \\S_n=\dfrac{2k+4k}{2}\cdot (2k+1)=\dfrac{6k}{2}\cdot (2k+1)=3k\cdot (2k+1)=6k^2 +3k$

7 0

3 years ago

Suri is buying fruit to make a fruit salad.She buys x pounds of strawberries that cost $3.99 per pound and y pound of blueberrie

Scilla [17]

Answer: Cost of strawberries and blueberries in the fruit salad,

C= 3.99x +4.99y

Step-by-step explanation:

Let the amount of strawberry be x pounds

Let the amount of blueberries be y

The fruit salad contains x pounds of strawberry and y pounds of blueberries

Cost of strawberries and blueberries in the fruit salad ,

C= 3.99x +4.99y

This is the algebraic expression to represent this situation.

8 0

2 years ago