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2 years ago

Identify the meaning of the variables in the point-slope form of a line.

Mathematics

1 answer:

user100 [1]2 years ago

6 0

In the point-slope form of a line, (y-y1)=m(x-x1)

'm' represents the slope of the line.

(x1,y1) represents a given point on the line.

(x,y) represents any point on the line.

The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form.

A straight line is represented using its slope and a point on the line using point slope form. This means that the point slope form is used to determine the equation of a line whose slope is "m" and passes through the point (x1,y1).

The point slope form's equation is (y-y1)=m(x-x1), where (x, y) is a randomly chosen point on the line and m is the slope.

Learn more about point-slope form here:

brainly.com/question/6497976

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What is the square root of 5

zlopas [31]

The square root of 5 is 2.236

7 0

3 years ago

Which equation is written in slope-intercept form? Oy= 3x-2 O x=y+8 0 2x+ 5y = 12 O 3y = 8x-5

maw [93]

Answer:

Step-by-step explanation:

slope intercept form is

y-mx+b where m is the slope, b-is the y-intercept

y=3x-2

8 0

2 years ago

1. Dorothy bought a teddy bear and sold it at a 20% profit to Kim. Kim bought a suit costing $100 and dressed the teddy bear up

makkiz [27]

1. Dorothy paid $200 for the teddy bear

2. y is more than x by $33\frac{1}{3}$ %

Step-by-step explanation:

1. The given is:

Dorothy bought a teddy bear and sold it at a 20% profit to Kim
Kim bought a suit costing $100 and dressed the teddy bear up in the suit
Kim then sold the teddy bear in the suit to Karen for $442
Kim made a profit of 30%

We need to find how much Dorothy paid for the teddy bear

Assume that Dorothy bought a teddy bear for $x

∵ Dorothy bought a teddy bear for $x

∵ She sold it at a profit 20% to Kim

By using the ratio method

→ Buying price : Profit : Selling price

→ 100% : 20% : 120% ⇒ (100% + 20%)

→ x : : ?

By using cross multiplication

∴ 100% × Selling price = x × 120%

- Divide both sides by 100%

∴ Selling price = 1.2x

∴ Dorothy sold the teddy bear for $1.2x to Kim

∵ Kim bought a suit costing $100 and dressed the teddy bear

up in the suit

∴ The cost of the teddy bear = 1.2x + 100

∵ Kim sold the teddy bear in the suit to Karen for $442

∵ Kim made a profit of 30%

By using the ratio method

→ Cost price : Profit : Selling price

→ 100% : 30% : 130% ⇒ (100% + 30%)

→ 1.2x + 100 : : 442

By using cross multiplication

∴ (1.2x + 100) × 130% = 100% × 422

- Divide both sides by 130%

∴ 1.2x + 100 = 340

- Subtract 100 from both sides

∴ 1.2x = 240

- Divide both sides by 1.2

∴ x = 200

∴ Dorothy bought the teddy bear for $200

Dorothy paid $200 for the teddy bear

2. The given is:

x is less than y by 25%
Then y is more than x by how many percent

Assume that y is 100%

∵ y = 100%

∵ x is less than y by 25%

∴ x = 100% - 25%

∴ x = 75%

- The percentage of increasing of y = $\frac{y-x}{x}$ × 100%

∵ The percentage of increasing of y = $\frac{100-75}{75}$ × 100%

∴ The percentage of increasing of y = $\frac{25}{75}$ × 100%

∴ The percentage of increasing of y = $\frac{1}{3}$ × 100%

∴ The percentage of increasing of y = $33\frac{1}{3}$ %

y is more than x by $33\frac{1}{3}$ %

Learn more:

You can learn more about the ratio in brainly.com/question/4713715

#LearnwithBrainly

6 0

3 years ago

How do I solve the system of equations<br> {Y=x^2+2x}<br> {Y=-x-2}

Minchanka [31]

Graph it on the Ti-84 and use the trace function to find the intersection.

The answer is

(-3,3)

7 0

3 years ago

The volume of this rectangular prism is 4x^3 (4x cubed). What does the coefficient 4 mean in terms of the problem?

yKpoI14uk [10]

It means that has four of those cubes inside one prism... it's hard to explain but x^3 is ONE CUBE not prism, YOU HAVE FOUR of them, hope this helpz

5 0

2 years ago

Read 2 more answers