The point (-6, 4) lies on a straight line that has a gradient of -2. What is the
equation of this line?

Answers

Answer 1

Given:

Point on straight line = (-6,4)

Gradient = -2

To find:

The equation of the line.

Solution:

Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,4) with slope -2. So, the equation of the line is:

[tex]y-4=-2(x-(-6))[/tex]

[tex]y-4=-2(x+6)[/tex]

[tex]y-4=-2x-12[/tex]

Adding 4 on both sides, we get

[tex]y-4+4=-2x-12+4[/tex]

[tex]y=-2x-8[/tex]

Therefore, the equation of the line is [tex]y=-2x-8[/tex].


Related Questions

find the value of x in each triangle. show your work on a separate piece of paper

Answers

Answer:

125

Step-by-step explanation:

all angles in a triangle add up to 180. you add 100+25=125 180-125=55 to check... 125+55=180 to angles next to each other on a straight line equals 180-55=125 angle x= 125

im pretty sure thats correct i hope this helps!

Jacob has an $8 gift certificate to use
at a toy store. He decides to buy a toy
airplane that costs $8.61, and 3 toy
cars that cost $2.85 each.
If Jacob uses his gift certificate, how
much money will he need to pay?

Answers

8.61
2.85 * 3= 8.55
8.61+8.55=17.16
17.16-8 (the gift certificate)= 9.16

Use the graph below to solve the equation. (Find the solutions or the roots)

Answers

Answer: I see a dot so -2,-2?

Step-by-step explanation:

6(t - 1) = 9(t - 4)
t = ?

Answers

t = 43

My reasoning is that I just did this and if you were to times 4 x 9 you would get minus ce tre avergae t pens

Help me on this please

Answers

Answer:

14. y=10

Step-by-step explanation:

3y-7=23

   +7   +7

3y=30

----  -----

3       3

y=10

Answer:

y=10j=8

Step-by-step explanation:

[tex]3y-7=23[/tex]

Collect like terms and simplify

[tex]3y =23+7\\3y=30[/tex]

Divide both sides of the equation by 3

[tex]\frac{3y}{3} = \frac{30}{3}[/tex]

Simplify

[tex]y=10[/tex]    

2.

[tex]\frac{3(j-1)}{2}=12 + \frac{2-j}{4} \\\\\mathrm{Multiply\:by\:LCM=}4\\\\\frac{3\left(j-1\right)}{2}\times\:4=12\times\:4+\frac{2-j}{4}\times\:4\\\\Simplify\\6\left(j-1\right)=-j+50\\\\Expand\:6\left(j-1\right) :6j-6\\\\6j-6=-j+50\\\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\6j-6+6=-j+50+6\\\\Simplify\\6j=-j+56\\\\\mathrm{Add\:}j\mathrm{\:to\:both\:sides}\\6j+j=-j+56+j\\\\Simplify\\7j=56\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7j}{7}=\frac{56}{7}\\\\Simplify\\j=8[/tex]

i really need help!!!!!!! !!!!

Answers

Answer:

{-1/2, -1/4, 1/2}

Step-by-step explanation:

x > - 1 can be voiced as "x is greater than -1."  In other words, any x value greater than -1 satisfies this inequality.

1/2 is greater than -1.  1/2 lies to the right of -1.

-1/2 is greater than -1.

-1/4 is greater than -1.

-5/2 is the same as -2 1/2.  This is smaller than -1.  Eliminate this choice

Evaluate: 5*5/7
enter your answer as a proper fraction or mixed number

Answers

Answer:

3 4/7

Step-by-step explanation:

5 times 5/7 = 25/7

= 3 4/7

Answer:

3 4/7

Step-by-step explanation:

5/1 x 5/7 = 25/7 = 3 4/7

Somebody help ASAP hurry

Answers

Answer:

540 divided by 9

Over estimated

Please mark as brainliest!

540 \ 9
Overestimated
Thanks!

Write a function, (), which has a maximum and a y-intercept of −3.
PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph. The graph is also symmetric with a vertical line drawn through the vertex, called the axis of symmetry. These features are illustrated in (Figure).

Graph of a parabola showing where the x and y intercepts, vertex, and axis of symmetry are.  

The y-intercept is the point at which the parabola crosses the y-axis. The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of x

at which

y = 0  

Can u guys help me please

1. What % of 240 is 60?

2. .90 is what percent of 120?

3. 24 is 96% of what number?​

Answers

1.) 25%
2.) 75%
3.) 25

what is the value of the x- intercept of the following equation? 2x-6y=14

Answers

Answer:

x-3y-7=0

Step-by-step explanation:

Dont care bruuhh

Pickle cannot get the cart up the ramp. In order to be successful he should

make the ramp longer.


make the ramp shorter.


make the ramp steeper.


back up and begin with a running start.

Answers

Answer: Make the ramp longer

making the ramp shorter and making the ramp steeper would be the same, and backing up wouldn't really help

Pickle should make the ramp longer in order to be successful.

Option A is the correct answer.

What is a ramp?

The ramp refers to a sloped surface that connects a lower level to a higher level.

We have,

- A longer ramp will provide a more gradual slope, which will make it easier for the cart to move up the ramp.

- If the ramp is too short,

The slope will be too steep and it will be difficult to push the cart up.

- Making the ramp steeper will also make it more difficult to push the cart up.

- Starting with a running start may provide some initial momentum, but it will not address the underlying problem of the ramp being too short.

Thus,

Pickle should make the ramp longer in order to be successful.

Learn more about the ramp here:

https://brainly.com/question/12023500

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In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.

Answers

28.1 feet

explaination

\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}

cosU=

hypotenuse

adjacent

=

x

9.6

\cos 70=\frac{9.6}{x}

cos70=

x

9.6

x\cos 70=9.6

xcos70=9.6

Cross multiply.

\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}

cos70

xcos70

=

cos70

9.6

Divide each side by cos 70.

x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}

x=

cos70

9.6

=28.0685≈28.1 feet

Type into calculator and roundto the nearest tenth of a foot.

Your checking account balance is $50. You spend $11 and then deposit $27.
What is your current balance?

Answers

Answer:

66$

Step-by-step explanation:

50$-11$+27$

66$

Answer:

$66

Step-by-step explanation:

$50- $11= $39

$39+ $27= $66

4.6 isosceles and Equilateral Triangles

Answers

Step-by-step explanation:

3).20⁰

4).60⁰

180-70+70_180-140__20

Find the 11th term of the geometric sequence 6, -18, 54,

Answers

Answer:

354294

Step-by-step explanation:

a₁ = 6 = 6 * (-3)⁰

a₂ = -18 = 6 * (-3)¹

a₃ = 54 = -18 * (-3) = 6 * (-3)²

a₁₁ = 6 * (-3)¹⁰ = 354294

Anyone else having to do school work during spring break because edgenuty sucks?

Answers

no I’m not on spring break hahaha

In triangle ABC, the sum of the measures of angle A and angle B is 57°. What is the measure of and C?

Answers

Answer:

I think it's 123 if not sorry

Step-by-step explanation:

all you need to do is 180 - 57 to get your answer

What value of x makes this equation true? 2/3x - 5 = 1/6x + 3​

Answers

Answer:

x=16

Step-by-step explanation:

Each side of a regular hexagon has a length of 2 ft 3 in. Find the perimeter of the regular hexagon

Answers

Answer:

gdghdhsxjsjsj

Step-by-step explanation:

jcjcjcjcjjcjcjcjcjc

Answer:

t is a regular hexagon of side 2′. So it can be divided into 6 triangles equal in all respects.The sum of all interior angle of hexagon =(n-2)*180 = (6–2)180 =720 deg. each interior angle =720/6 =120 deg.Side of the triangle divides this angle into two equal halves each = 60 deg.when two base angles of each triangle are 60 and 60 third angle will also become 60 making it as equilateral triangle. N ow the area of hexagon =6*the area of each equilateral triangle of base 2 ft.=6*1/2*2*h. h is the altitude of the triangle=2/2*tan 60 = rt3 =1.732 .NOW area of hexagon =6*1.732 = 10.392 sq.ft

Please answer! I’ll make brainliest

Answers

Answer:

16 feet

Step-by-step explanation:

We are Given that

We have a 34 foot ladder leaning against a 30 foot buildingWe are asked to find the distance of the bottom ladder from bottom of the building.

A ladder leaning against a object makes the ladder slanted so that means 34 is our hypotense.

The building height And distance of the bottom of ladder and building is our legs so our formula we use is

[tex] {30}^{2} + {x}^{2} = {34}^{2} [/tex]

[tex]900 + {x}^{2} = 1156[/tex]

[tex] {x}^{2} = 256[/tex]

[tex]x = 16[/tex]

PLEASE HELP IMMIDEATIALY BFHBGDWAHDW

Answers

Answer:

zeros and AoS

Step-by-step explanation:

zeros, x = (1 , -7)

AoS:x =-1

Write an equation in slope-intercept form for the line with slope 3/5 and y-intercept -9

Answers

Y=3/5x -9 I’m pretty sure it’s this

Aria has a points card for a movie theater. She receives 85 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs 185 points for a free movie ticket. How many visits must Aria make to earn a free movie ticket?

Answers

Answer:

8 visits

Step-by-step explanation:

Create an equation, where x is the number of visits to the theater.

Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.

85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.

12.5x + 85 = 185

Solve for x:

12.5x = 100

x = 8

So, Aria needs to make 8 visits to earn a free movie ticket

Aria must make 8 visits to earn a free movie ticket when She needs 185 points for a free movie ticket.

By given she has  85 rewards points just for signing up.

She earns 12.5 points for each visit to the movie theater.

She needs 185 points for a free movie ticket.

We must find how many visits does aria has to make to earn a free movie ticket

What is equation?

If two expressions with equal sign is called as equation.

Let  x is the number of visits to the theater.

Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.

85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.

12.5x + 85 = 185

12.5x = 100

x = 8

So, Aria needs to make 8 visits to earn a free movie ticket

To learn more about solving equation click here:https://brainly.com/question/19297665

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HELP!!


Which of the following statements is TRUE if angle 4 has a measure of 127°?
А
<1 = 53°
B
<2 = 53°
с
<3 = 127
D
<3 = 180°

HELP!!

Answers

A is the answer happy 2 help :D

Answer:

A

angle 1 + angle 4 is equal to 180

if angle 4 = 127, angle 1 must equal 53

Step-by-step explanation:


What is the range of the function y=-2/3x-10
given a domain of{-9,-3,0,3,9}

Answers

98

kqprhwierui4roqwhrdkej1wddkbrdh

WHAT IS THE SLOPE-INTERCEPT EQUATION FOR THE COST OF A SUB AT FEDS SUB SHOP

Answers

The answer is Y=5x+2

Solve for x. Enter the solutions from least to greatest.
x2 + 16x + 63 = 0
lesser x =
greater x =

Answers

Answer: less= -9.41

Greater= -6.59

Step-by-step explanatio. it is

Answer:

Step-by-step explanation:

In each of the following graphs, the two given polygons are similar. Write precisely a single dilation (coordinates of center and coefficient) by which the image (labeled with primed letters) was obtained. Will Give Brainiest!!!!!

Answers

Answer:

Center: (0,0)   coefficient: [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The side of the smaller polygon is 1/3 the size of the larger one, and that is why the coefficient is 1/3.

Polygon MNPQ was dilated by a scale factor of 1/3 and center of dilation (0, 0) to create M'N'P'Q'.

What is dilation?

Dilation is the increase or decrease in the size of a figure by a scale factor of k, thereby creating an image.

From the diagram:

Scale factor = N'P' / NP = 2/6 = 1/3

Center = (0, 0)

Polygon MNPQ was dilated by a scale factor of 1/3 and center of dilation (0, 0) to create M'N'P'Q'.

Find out more on dilation at: https://brainly.com/question/10253650

2x - 1 1/2 = 31

solve the equation for the variable

Answers

Answer:

x=16 1/4

Step-by-step explanation:

is that a 11/2 or a 1 1/2? the answer i put was for 1 1/2

Answer:

x=16 1/4

Step-by-step explanation:

2 - 1/2 = 1/2

31 / 1/2 = 15 1/2

Check Answer:

(2 x 16 1/4)- 1 1/2

32 1/2 - 1 1/2

=31

Sooo:

x=16 1/4

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