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3 years ago

Find the point-slope form of the equation of the line that passes through (4, -2) With a slope of 1/4

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

5 0

(y+2)=1/4(x-4) is the answer because you use the formula (y-y1)=slope(x-x1)

posledela3 years ago

3 0

Hey there!

Point-slope form is defined as:

y - y1 = m(x2-x1)

All we have to do here is plug in our values in the point given and the slope. We have:

y - (-2) = 1/4(x-4) =

Therefore, our answer is:

y + 2 = 1/4(x-4)

Hope this helps!

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HELP PLEASE!!!!❕❕❕write in standard form an equation of the line <br><br> slope= 2/5;(-1,3)

Vinil7 [7]

Answer: 2x - 5y = -17

Step-by-step explanation: Let's use the point-slope formula.

The point-slope formula is written y - y₁ = m(x - x₁).

In this formula, (x₁, y₁) is our point and <em>m</em> is our slope.

Now let's plug all our information into the formula.

So we have y - 3 = 2/5(x + 1).

Notice that I put x + 1 inside the parenthses and this

is because we have x minus a negative 1 which means x + 1.

Our next step would be to distribute this 2/5through both

terms inside the parenthses to get 2/5x + 2/5 on the right side.

So we have y - 3 = 2/5x + 2/5.

Now in standard form, we cannot have any fractions.

We need to get rid of them by multiplying

both sides of the equation by 5.

When we do this, we get 5y - 15 = 2x + 2.

Now we just move our number to the right by

adding 15 to both sides of the equation.

That gives us 5y = 2x + 17.

Move our 2x to the left side by subtracting

2x from both sides to get -2x + 5y = 17.

In standard form, the coefficient of the x term must be positive.

So our last step is to divide both sides

by -1 so that our answer is 2x - 5y = -17.

7 0

3 years ago

Read 2 more answers

Last year the depth of the river was 4.2 feet deep. This year it dropped 25%. Find the depth of the river this year to cross it.

Novosadov [1.4K]

Answer:

The river is 3.15 feet deep.

Step-by-step explanation:

First let's recognize what we need to find: the depth of the river

We know last year the river was 4.2 feet deep, but it dropped 25%. This means we also need to find how much it dropped. To find this, we need to know what 25% of 4.2 is. Write an equation for this.

y = 25% of 4.2

y = 0.25 • 4.2

y = 1.05

This means that the river dropped 1.05 feet. To know its depth now, we need to subtract 1.05 from 4.2. Write an equation for this.

d = 4.2 - 1.05

d = 3.15

The river is 3.15 feet deep.

Hope this helps!

4 0

3 years ago

I need help on these 3

uysha [10]

What do you need help with? it helps us to know the question!

3 0

3 years ago

What is the perimeter of JKLM?

Jobisdone [24]

Answer:

Step-by-step explanation:

KL = 12 because the triangle is isosceles ( base angles are congruent)

KJ = JM = 12 because the triangle is equilateral ( all angles are equal 60°)

the perimeter is

P = 9 + 12 + 12 +12 = 9 +36 = 45

5 0

3 years ago

Leezas aquarium holds 55 gallons of water. She is filling the tank and has already put in 22 gallons. Write and solve an inequal

svp [43]

Leeza can put 33 or less gallons of water in aquarium.

Step-by-step explanation:

Given,

Capacity of aquarium = 55 gallons of water

Water already in aquarium = 22 gallons

Let,

x be the number of gallons that can be added in aquarium.

As aquarium can hold 55 gallons of water, therefore, we cannot add more than 55 gallons of water.

$x+22\leq 55$

Subtracting 22 from both sides

$x+22-22\leq 55-22\\x\leq 33$

Leeza can put 33 or less gallons of water in aquarium.

Keywords: inequality, subtraction

Learn more about inequalities at:

#LearnwithBrainly

6 0

3 years ago