what is the equation of the line that passes through the point (-5,2) and has a slope of 4/5

Answers

Answer 1

Answer:

y = [tex]\frac{4}{5}[/tex] x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{4}{5}[/tex] , then

y = [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (- 5, 2 ) into the partial equation

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = [tex]\frac{4}{5}[/tex] x + 6 ← equation of line

Answer 2

Answer:

Below.

Step-by-step explanation:

Use the point-slope form of a straight line.

y - y1 = m(x - x1)

Here m = 4/5, x1 = -5 and y1 = 2, so

y - 2 = 4/5(x - -5))

y - 2 = 4/5 x  + 4

y = 4/5x + 6 is the answer in slope-intercept form.

Standard form:

Multiply through by 5:

5y = 4x + 30

4x - 5y = -30 is the answer in standard form.


Related Questions

Susana's parents gave her $24 to spend at the carnival. If the tickets for the rides cost $3 each, find the maximum number of tickets Susana can buy

Answers

Answer:

The maximum number of tickets Susana can buy is 8.

Step-by-step explanation:

From the information provided, you can say that the total amount spent at the carnival would be equal to the price per ticket for the number of tickets purchased which can be expressed as:

c=3x, where:

c is the total amount spent

x is the number of tickets purchased

Now, you can replace c with 24 that is the amount Susana's parents gave her to spend at the carnival and then, solve for x:

24=3x

x=24/3

x=8

According to this, the answer is that the maximum number of tickets Susana can buy is 8.

The equation below can be used to solve which of the following word problems? 2x + 4y = 18

A. The price of four books is $18 more than the price of two books. What is the price per book?
B. The price of four books equals $18. What is the price per book?
C. John bought a certain number of $2 books and $4 books for a total of $18. How many of each book did he buy?
D. The price of two books is $18 more than the price of four books. What is the price per book?

Answers

One of the 4 options prolly D

Can someone please help me with this

Answers

Answer:

y=25

2 of the y's = 50 in total

Step-by-step explanation:

180-115=x

x=65

180-90-65=y

y=25

does 2(4+x)=8+2x have any solutions

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

2(4 + x) = 8 + 2x 8 + 2x = 8 + 2x

Both sides are same, it means regardless the value of x the equation is correct. The equation has infinitely many solutions

Factor the equation below.
f(x) = x2 + x - 6

Answers

Answer:

3x - 6

Step-by-step explanation:

Uwu if you want me to explain it more let me know

simplify √0.49



............

Answers

Answer:

0.7

Step-by-step explanation: I hope this helps!

Estimate the sum Sn of the series whose partial sums are graphed above.

Answers

Answer:

C. 15

Step-by-step explanation:

Edge 2021

Help pls and no links

Answers

Answer:

C) 4/(x+y)²

Step-by-step explanation:

start by expanding so it is written as 2÷(x+y)/(x+y)÷2.

Then rearrange so that it is 2×2/(x+y)×(x+y) or 4/(x+y)²

3. Complete the proof below.


Help please!!!

Answers

Answer:

The completed proof is presented as follows;

The two column proof is presented as follows;

Statements    [tex]{}[/tex]                                               Reason

1. [tex]\overline {HI}[/tex] ║ [tex]\overline {KL}[/tex], J is the midpoint of [tex]\overline {HL}[/tex] [tex]{}[/tex]         1. Given

2. ∠IHJ ≅ ∠JLK[tex]{}[/tex]                                            2. Alternate angles are congruent

3. ∠IJH ≅ ∠KJL   [tex]{}[/tex]                                         3. Vertically opposite angles

4.  [tex]\overline {HJ}[/tex] ≅ [tex]\overline {JL}[/tex]   [tex]{}[/tex]                                              4. Definition of midpoint

5. ΔHIJ ≅ ΔLKJ  [tex]{}[/tex]                                         5. By ASA rule of congruency

Step-by-step explanation:

Alternate angles formed by the crossing of the two parallel lines [tex]\overline {HI}[/tex] and [tex]\overline {KL}[/tex], by the transversal [tex]\overline {HL}[/tex] are equal

Vertically opposite angles formed by the crossing of two straight lines [tex]\overline {IK}[/tex] and [tex]\overline {HL}[/tex] are always equal

A midpoint divides a line into two equal halves

Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK[tex]{}[/tex] in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent [tex]\overline {HJ}[/tex] ≅ [tex]\overline {JL}[/tex], then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.

Write the equation of the polynomial with the given roots in standard form.

x=-4 (multiplicity of 2)

x=2i

Answers

Answer:

sorry not sure

Step-by-step explanation:

I think by the way you saying it the answer may be

2x2=4*6

Please answer the following question

Answers

Answer:

first give options it is very hard to do

....... PLEASE HELP ME OUT HERE LOL

Answers

Answer:

2

Step-by-step explanation:

you take you longest side half it and it equals the other two sides

The Bears won 15 games last year. This year the Bears won 18 games. What is the percent increase in the number of games the Bears won from last year to this year?

Answers

20% increase this year

Answer:

The percent of increase is 20

Step-by-step explanation:

(18:15-1)*100=

120-100=20

PLS HELP ASAP WILL GIVE BRAINLEAST

Answers

Answer:

it should be (-6,-2) if I remember how to do this correctly

Can someone pleseeeee help me I beg you and please show your work

Answers

Answer:

175

[tex] {cm}^{3} [/tex]

Step-by-step explanation:

25×7=175

Answer:

175cm3

Step-by-step explanation:

How to find the volume

In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width, and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.

Multiply 25cm2 and 7cm

Therefore, the answer is 175cm3

4, Give a pair of inequalities that describes
the set of all points in the first quadrant​

Answers

Answer:

x > 0

y > 0

Step-by-step explanation:

The first quadrant is the quadrant formed by the positive x-axis and the positive y-axis.

And we know that all the elements in this quadrant are larger than zero.

Then, a point (x, y) is on the first quadrant only if:

x > 0

y > 0

Note that we ignore the points with x = 0 or y = 0, this is because these points are shared between quadrants, and these points are not defined as belonging to any quadrant.

Help PLEASE I GIVE POINTS ​

Answers

Answer:

107

Step-by-step explanation:

A circle is 360 degrees, so subtract 53,110, and 90 (right angle) from that.

Answer:

x = 107°

Step-by-step explanation:

a circle has 360°

to find 'x':

360-(53+90+110)

360 - 253 = 107

Someone help me out it’s timed!!

Answers

Answer:

XZ = 42

Step-by-step explanation:

By the property of similar triangles,

"If two triangles are similar, their corresponding sides will be proportional."

By applying the property of similarity in ΔABC and ΔXYZ,

[tex]\frac{AB}{XY}= \frac{BC}{YZ}= \frac{AC}{XZ}[/tex]

[tex]\frac{4}{24}=\frac{8}{48}= \frac{7}{XZ}[/tex]

[tex]\frac{1}{6}= \frac{7}{XZ}[/tex]

XZ = 42

Therefore, length of unknown side XZ = 42 units.

-3x-11>45
Please help!

Answers

Answer:

x < -56/3

Step-by-step explanation:

i hope this helps :)

Answer:

x < − [tex]\frac{56}{3}[/tex]

Step-by-step explanation:

-3x-11>45

-3x>56

Both side divide by -3

x>[tex]\frac{56}{-3}[/tex]

x < − [tex]\frac{56}{3}[/tex]

Pl help it’s for a grade

Answers

The second choice is the right anwser
2nd choice. Is correct hun

uhh I don't really understand this problem, so I would like to know how to do it

Answers

Answer:

( C ) 428.1 ft²

Step-by-step explanation:

Alright, we know the surface area of a shape is the area the entire outside covers. So, we just need to find the areas of each side and add them together.

Let's start with the two rectangular sides. The dimensions of both of these are 10×12. The area of rectangles can be calculated by multiplying the length and width, so let's do that. Then, we will multiply this answer by two, so we have the areas of both rectangles.

10 · 12 = 120

120 · 2 = 240

The area of the two rectangular sides is 240 ft². We have 3 sides left to solve for.

Next, we will find the area of the triangular sides. Again, we will multiply the answer by two so we have the area of both. The area of the triangle can be found by multiplying [tex]\frac{1}{2}[/tex] the width by the height.

4.5 · 8.9 = 40.05

Multiply this by two for the area of both sides.

40.05 · 2 = 80.1

The area of the triangle sides is 80.1 ft².

The last side is also a rectangle, with the dimensions 9×12.

9 · 12 = 108

The bottom side has an area of 108 ft².

Now, we can add the areas together.

240 + 80.1 + 108 = 428.1

The surface area of the shape is 428.1 ft². The answer is C.

I hope this helps ^^

Good luck :)

Find the area(please help)

Answers

Answer:

A=70 sq in.

Step-by-step explanation:

to make a profit, a clothing store sells board shorts at 115% of the amount they paid for them. how much did the store pay for the board shorts shown?

Answers

You didnt give a picture of the question showing the shorts

Answer:   $24.34

Step-by-step explanation:

28/X=115/100

Part/Whole= %/100

28=1.15*x

x=28/1.15

x=24.34

Paige had $20 to spend on 6 pieces of candy. After buying the candy, she has $6.50 left. How much was each piece of candy?​

Answers

Answer:

$2.25

Step-by-step explanation:

1. 20-6.50= 13.50

2. 13.50/6(pieces of candy) = $2.25

What is a simpler form of (2x²-3x+1)(x-3)?

Answers

Answer:

Step-by-step explanation:

(2x² - 3x  + 1 )(x - 3) = (2x² - 3x + 1)*x + (2x² - 3x + 1)*(-3)

                               = 2x²*x - 3x*x  + 1*x + 2x²*(-3) - 3x*(-3) + 1*(-3)

                               = 2x³ - 3x² + x -  6x² + 9x - 3

                               = 2x³ - 3x² - 6x² + x + 9x - 3 {Combine like terms}

                              = 2x³ - 9x² + 10x - 3

In the phrase "rise over the run", what does rise indicate?

Group of answer choices

The difference in y coordinates between two points on a line.


The difference x coordinates between two points on a line.


The difference between the x intercept of a line and the y intercept of a line.


The difference between a line's slope and its length

Answers

The difference between the x intercept and the y intercept

HELPPPPPPPPPPPPPP MEHHHHHHHHHHHH I HAVE A D+ AND GRADE GO OUT THIS FRIDAY PLZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPP

Answers

Answer:

Step-by-step explanation:

Clusters:

There is a cluster with a regression line of -0.4

Outliers:

(8,8) because it is not near the cluster that was said earlier.

answer 2. will give brainliest

Answers

Answer:

I think c and d

Step-by-step explanation:

srry if im wrong

Expand and simplify: (2x + 5y) (3x − 2y)

Answers

Answer:

Expand:5x+3y

Simplify:6x^2+11xy-10y^2

Step-by-step explanation:

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

6x^2-4xy+15xy-10y^2

6x^2+11xy-10y^2

Explain how you can locate the vertex, V, of the parabola with the given focus and directrix. Write the coordinates of the vertex.

(Go to my other questions for info)

Answers

Answer:

(6,1) I’m pretty sure because it is the midpoint between the focus and directrix.

Step-by-step explanation:

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