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Answer:

y = 2x - 1

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Find points on the graph.

Point (1, 1)

Point (-1, -3)

Step 2: Find slope m

Step 3: Find y-intercept b

Given: (0, -1) as y-intercept

Step 4: Write linear equation

y = 2x - 1

The equation y = 2x - 1 is the correct representation of the line in slope-intercept form.

The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.

Among the options provided, the equation y = 2x - 1 is already in the slope-intercept form. In this equation, the slope is 2, which means that for every unit increase in x, y increases by 2. The y-intercept is -1, indicating that the line intersects the y-axis at the point (0, -1).

The equations y = -2x - 1, y = 1/2x - 1, and y = 1/2x + 1 are not in slope-intercept form. In the equation y = -2x - 1, the slope is -2 and the y-intercept is -1. In the equation y = 1/2x - 1, the slope is 1/2 and the y-intercept is -1. Lastly, in the equation y = 1/2x + 1, the slope is 1/2 and the y-intercept is 1.

Therefore, the equation y = 2x - 1 is the correct representation of the line in slope-intercept form.

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hi

slope  is  1/2

You have A (0;0) and B ( 2;1)  

slope  is  ( Yb-Ya )/(Xb-Xa) =   (1-0)/ ( 2-0) = 1/2

Answer:

Ok

Step-by-step explanation:

Answer: C. Taking a trip on a raft is safe if the weight of guests and their belongings (x pounds) and the weight of the guide and her equipment (250 pounds) together are less than 1,200 pounds

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Answer:

x= c/14

Step-by-step explanation:

add 8 to both sides of the equation, then simplify, next divide both sides of the equation by the same term, and finally simplify again.

Answer:

D. 3

Step-by-step explanation:

If you multiply the second equation, 3x+2y=1 by 3, it will be 9x+6y=3 which will cancel out the first equation giving you infinitely many solutions.

Answer:

-x + 5y + 7

-This should be the answer

Answer:

Ummm

Step-by-step explanation:

This is confusing

Answer:

very confusing

Step-by-step explanation:

explainahh

Answer:

The unit rate is $.80 per can.

Step-by-step explanation:

All you have to do is divide $4.80 by 6.

$4.80÷6=$.80

This means that each can cost 80 cents,

In other words the unit rate is $.80

Hope this helps!

Answer:

157.5

Step-by-step explanation:

Answer:

26 minutes

Step-by-step explanation:

13:47=1 hour

Multiply by 2

26:94= 2 hours

Answer:

Step-by-step explanation:

Given

Solving for m

Answer:

y=x+1

or x=y-1

Step-by-step explanation:

Answer:

3, 11, and 14

Step-by-step explanation:

One side length of a triangle that is selected at random must be smaller than the sum of the other two side lengths and bigger than their difference

one side of this triangle is 4 and the other is 7 so if we call the third side length x

7-3 < x < 7+3 ➡ 4 < x < 11

Answer:

ASA congruence (A)

Step-by-step explanation:

These triangles have a congruent side in between two congruent angles; this meets the criteria for ASA congruence.

HTH :)

Answer:

New time to find all balls = 23.75 hours

Step-by-step explanation:

Given:

Total time = 95 hour

Total people = 1 Lillian + 3 friends = 4

Find:

New time to find all balls

Computation:

New time to find all balls = 95 / 4

New time to find all balls = 23.75 hours

Answer:

$37.50

Step-by-step explanation:

In this problem, all we need to do is enter the given value into the equation. In this case, [tex]x[/tex] carnival tickets = 15. So,

[tex]y=2.50(15)[/tex]

[tex]y=37.50[/tex]

The total cost of 15 carnival tickets is $37.50.

Hope this helps!

Answer:

37.50

Step-by-step explanation:

Answer: 31

Step-by-step explanation:

Order of Operations: PEMDAS

Multiplication comes first so you do −2⋅3 which equals -6

Then you can add 5 to -6,

or subtract -6 from 32.

Answer:

b

Step-by-step explanation:

Anwer:

14 cm

Step-by-step explanation:

Let's apply the Phytagorean Theorem [tex]a^{2}+b^{2}=c^{2}[/tex]

Since we only have one side and the hypotenuse:

[tex]a^{2}+24^{2}=28^{2}\\a^{2}+576=784\\a^{2}=784-576\\a^{2}= 208\\[/tex]

[tex]a=\sqrt{208}\\a= 14.42\\a= 14 cm[/tex]

The length of the wall is approximately 14.4 units.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Maria is putting up a shelf on a wall in her closet.

The figure below shows triangle ABC, which represents a bracket that will be used to support the shelf.

AC = 24, BC = 28 = hypotenuse, AB = wall

Using the Pythagorean theorem, we can solve for the length of AB (the wall):

AB² = BC² - AC²

AB² = 28² - 24²

AB² = 784 - 576

AB² = 208

AB = sqrt(208)

AB ≈ 14.4

Therefore, the length of the wall is approximately 14.4 units.

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Answer:

0.65

Step-by-step explanation:

13/20  *  5  =  65/100 =  0.65

Answer:

0.65

Step-by-step explanation:

hdhdhdhdjddhdhdhdhfh he he he hfhdhdhhdhdhsn

Answer:

b=5m+r/m

Step-by-step explanation:

Let's solve for b.

r=(b−5)(m)

Step 1: Flip the equation.

bm−5m=r

Step 2: Add 5m to both sides.

bm−5m+5m=r+5m

bm=5m+r

Step 3: Divide both sides by m.

bm/m=5m+r/m

b=5m+r/m

Answer:

b=5m+r/m

Answer:

See Explanation

Step-by-step explanation:

[tex]r = (b - 5)m \\ \\ \frac{r}{m} = b - 5 \\ \\ \frac{r}{m} + 5 = b \\ \\ \frac{r + 5m}{m} = b \\ \\ \huge \red{ \boxed{b = \frac{r + 5m}{m} }}[/tex]

Answer:

The slope of the line is 11/2

remember, rise over run.

Step-by-step explanation:

May I have brainliest please? :)

Answer:

[tex]m=\frac{11}{2}[/tex]

Step-by-step explanation:

Answer:

253

Step-by-step explanation:

220 x 1.15

Answer: 50

Step-by-step explanation: Complementary angles are 2 angles that add to 90 degrees. Since 90-40=50, then its 50 degrees

Answer:

m=3.5 or 3 1/2 or 7/2

Step-by-step explanation:

y1 minus y2 over x1 minus x2 is the formula that I used.

Answer: k = 10

because ∠MYZ  is the outer angle of the triangle XYZ

=> ∠MYZ = ∠YZX + ∠YXZ

⇔ 115° = (4k + 5)° + (6k + 10)°

⇔ 115 = 10k + 15

⇔ 10k = 100

⇔ k = 10

Step-by-step explanation: