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sleet_krkn [62]
3 years ago
14

Find the slope of the line that contains the two points (0,1) and (1,3)

Mathematics
1 answer:
klio [65]3 years ago
7 0

Answer:

m=2 or y=2x+1

Step-by-step explanation:

first use the y2-y1/x2-x1 formula and then use y=mx+b formula

plug in 3 for y2 and 1 for y1

plug in 1 for x2 and 0 for x1

\frac{3-1}{1-0} =\frac{2}{1} =2

so ur slope is 2

_______________

for y=mx+b *extra info ig if u need it just incase*

i usually use the first point for this but u can use any one u want

plug in 0 for x

plug in 1 for y

and plug in 2 for m

1=2(0)+b

2*0=0

1=0+b

subtract o on both sides

1=b and b is ur y-intercept

y=2x+1

hope this helps

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For questions 3 - 5, answer the questions about the equations.
mrs_skeptik [129]

Answer:

  infinite solutions

Step-by-step explanation:

Eliminate parentheses and collect terms:

  3x -12 +5 -x = 2x -7

  2x -7 = 2x -7

This is true for any value of x. There are an infinite number of solutions.

6 0
3 years ago
REN fine six peanuts, four raisins, 3 cranberries, and 5 chocolate chips in a handful of trail mix. For every 9 pieces in Ren's
tankabanditka [31]

Answer:

2 raisins.

Step-by-step explanation:

Let x represent total number of required ingredient.

We have been given that Ren finds 6 peanuts, 4 raisins, 3 cranberries, and 5 chocolate chips in a handful of trail mix. We are asked to find of which ingredient Ren will have 2 pieces for a total of 9 pieces.

First of all, we will find total number of ingredients by adding each ingredient as:

\text{Total number of ingredients}=6+4+3+5

\text{Total number of ingredients}=18

Now, we will use ratio to solve for our given problem as:

\frac{\text{Required ingredient}}{\text{Total ingredient}}=\frac{2}{9}

\frac{x}{18}=\frac{2}{9}

\frac{x}{18}\cdot 18=\frac{2}{9}\cdot 18

x=\frac{2}{1}\cdot 2

x=4

Since there are 4 raisins, therefore, for  every 9 pieces in Ren's handful of trail mix there are 2 raisins.

6 0
3 years ago
(2+2w)⋅4+9(w+3) please answer this I am very confused
defon

Answer:

17w+35

Step-by-step explanation:

(2+2w)⋅4+9(w+3)

Distribute the 4  and the 9

2*4 + 2w*4 +9*w+9*3

8+8w +9w +27

Combine like terms

8w+9w +8+27

17w +35

8 0
3 years ago
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It led to the beginning of the Renaissance.
4 0
3 years ago
Solve by Substitution<br> Show Steps<br> −2x + 3y + 5z = −21<br> −4z = 20<br> 6x − 3y = 0
Anarel [89]

−2x + 3y + 5z = −21

−4z = 20

6x − 3y = 0

do -4z=20 first

divide both sides by -4 to get z by itself

-4z/-4=20/-4

z=-5

Use z=-5 into −2x + 3y + 5z = −21

-2x+3y+5(-5)=-21

-2x+3y-25=-21

move -25 to the other side

sign changes from -25 to +25

-2x+3y-25+25=-21+25

-2x+3y=4

6x-3y=0

find x by eliminating y

Add the equations together

-2x+6x+3y+(-3y)=4+0

-2x+6x+3y-3y=4

4x=4

Divide by 4 for both sides

4x/4=4/4

x=1

Use x=1 into 6x − 3y = 0

6(1)-3y=0

6-3y=0

Move 6 to the other side

6-6-3y=0-6

-3y=-6

Divide both sides by -3

-3y/-3=-6/-3

y=2

Answer:

(1, 2, -5)

5 0
3 years ago
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