the equation of the line which has a gradient of 3 and passes through the point (-1,3)

Answers

Answer 1

Answer:

Call the line (d): y = ax + b

(d) intersects the vertical axis at the point where the intersection is 3 ⇒x = 0, y = 3 Instead of (d) we have: b = 3

(d) intersects the horizontal axis at the point where the coordinate is -1 ⇒x = −1, y = 0 Instead of (d) we have: −a + b = 0

Replace into b = 3 into -a + b = 0 we have: −a + 3 = 0⇔a = 3

So the equation for the line is y = 3x + 3

Step-by-step explanation:


Related Questions

12 POINTS PLEASE HELP

Given f(-2)=0, find the zeros of the function below by using division and factoring
f (x) x^3 + 12x^2 + 46x + 52

Answers

Answer:

{x}={2}

{x}=\frac{{{10}-\sqrt{{-{4}}}}}{{2}}={5}-{i}={5.0000}-{1.0000}{i}

{x}=\frac{{{10}+\sqrt{{-{4}}}}}{{2}}={5}+{i}={5.0000}+{1.0000}{i}

What is the measure (in radians) of central angle in the circle below?
5 cm
0
2 cm
radians

Answers

Answer:

2.5

Step-by-step explanation:

Find the values of x and y in the equation below.
aby
08
y =
DONEM

Answers

Answer:

x=6

y=18

Step-by-step explanation:

I just took the assignment in edg ;)

a) y=(x+4)7-7)
Convert factored form to standard form

Answers

Answer:

[tex]y - 7x = 21[/tex]

Step-by-step explanation:

Given

[tex]y = (x + 4)7 - 7[/tex]

Required

Convert to standard form

[tex]y = (x + 4)7 - 7[/tex]

Start by opening the bracket

[tex]y = x*7 + 4*7 - 7[/tex]

[tex]y = 7x + 4*7 - 7[/tex]

[tex]y = 7x + 28 - 7[/tex]

[tex]y = 7x + 21[/tex]

Subtract 7x from both sides

[tex]y - 7x = 7x - 7x + 21[/tex]

[tex]y - 7x = 21[/tex]

Hence:

The standard form is: [tex]y - 7x = 21[/tex]


[tex] - 10 = 2x + 6[/tex]
how do I do this​

Answers

X=-8 2x=-16 divide both sides by 2 and it will equal -8 remember negative times positive is a negative

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is Determine the​ flag's width and length if the length is ft greater than the width.

Answers

Answer:

Step-by-step explanation:

lag is Determine the​ flag's wlag is Determine the​ flag's wlag is Determine the​ flag's w this mena that the wiatgh

Answer:

I need help on this.

Step-by-step explanation:

The ratio of boys to girls is 3 to 2. If there are 57 boys,how many girls are there ?

Answers

Answer:

There are 38 girls, 57;32

Step-by-step explanation:

57 divided by 3 is equal to 19

19 multiplied by 2 is equal to 38


A shoe store uses a 38% markup to price their items. The store buys the
shoes from the wholesaler for $52. By how much will they mark up the price?

Answers

Answer:

They will Markup the price by $19.76.

Step-by-step explanation:

Markup percent = 38%

Wholesale Price = $52

Markup price can be calculated by simply multiplying the wholesale price by 38% or 0.38.

so

Markup price = 38% of 52

                      = 38/100 × 52

                       = 0.38 × 52

                       = $19.76

Therefore, they will Markup the price by $19.76.

What’s the sum of -3a+2 and 5a-3

Answers

Answer:

2a-1

Step-by-step explanation:

Answer:

2a-1

Step-by-step explanation:

you take the -3a and add the 5a, and that gives you 2a. 2-3 is -1.

Complete the similarity statement for the two quadrilaterals given.



Enter your answer in the box.

quadrilateral RBWZ∼quadrilateral

Answers

Answer: hi! the answer is in the picture below but in case you can’t see the answer is JPFS

have a wonderful day and stay safe!!!

Step-by-step explanation: (see picture :))

Answer:

JPFS

Step-by-step explanation:

Verified correct with test results.

Picture attached below

Answers

Answer:

it's answer is B. 4/5

Step-by-step explanation:

perpendicular (p) = 8

hypotenuse (h) = 10

sin < A

= p/h

= 8/ 10

= 4/ 5

Hope it will help :)

Ms. Gregg spent $14 buying fruit
• Apples cost $2 per pound
• Bananas cost $1 per pound.
• What are some possible amounts of pounds of apples and
bananas that Ms. Gregg could have bought?

Answers

Answer:

Ms. Gregg could buy 4 apples and 6 bananas

Step-by-step explanation:

You can split the money and try to get even on each fruit by, getting 4 apples which would be 8 dollars on 4 apples then the extra money would be left over for the bananas which would be six dollars and since the bananas are only 1 dollar you can buy 6 with the leftover money.

Please help explain how to do this

Answers

Parentheses
Exponents
Multiple
Divide
Add
Subtract

Answer:

Any number that isn't 3.

Step-by-step explanation:

Any other number should work, so I'll just show you what happens if you use 3.

2(3x - 2) = 6x + 5

6x - 4 = 6x + 5

-4 ≠ 5

As you are aware, that would make it no solution hence why it can't be used.

What shape is this cross-section?

Answers

I’m pretty sure the answer is D :)

Answer:

D

Step-by-step explanation:

Standard Form: 3x+4y=−16

Answers

Answer:

i know the answer

Step-by-step explanation:

How can you use the coordinates of two points on a line to determine the slope of the line?

Answers

Answer:

you can use the slope intercept formula!

y2-y1/x2-x1

Step-by-step explanation:

lets take an example!

the coordinates of 1 point are (2,4) and the other point is (4,6)

so lets plug in (x1,y1) (y1,y2)y2 is the y intercept of second point so it is 6 minus y1 which is 4.

6-4/x2-x1

lets do same for x!

6-4/4-2

lets solve

2/2

=1

the slope is 1

WHATS THE ANSWER PLEASE HURRY

Answers

Answer:

2.2 * 2.2 = 4.84

4.84 * 6 = 29.04

-3/4 times (-12) (this / means a fraction)

Answers

Answer:

9

Step-by-step explanation:

will mark brainliest! pls help
JKLM, what is the value of M

Answers

A. 65 is the answer for you!

Spearhead Toy company hired 70 people this year. They have hired 10% more employees this year than last year. How many employees have been hired this year?

Answers

Answer:

63 employees.

Step-by-step explanation:

Spearhead Toy company hired 70 people this year.They have hired 10% more employees this year than last year.

To find the number of employees highered last year;

110% of employees represent 70

100% of the employees will represent;

Cross-multiplying gives;

[tex]\frac{100 * 70}{110} = 63.6[/tex]

To be realistic, 63 employees were highered last year.

find the percent of change.
50 to 75 ft...
please explain.​

Answers

Answer:

50%

Step-by-step explanation:

50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50).

Carl earns $3.25 per hour walking his neighbor’s dogs. He walks them 1/3 of an hour in the morning and 1/2 of an hour in the afternoon.
a. How much time does Carl spend dog walking every day?
b. How much time does Carl spend dog walking in a week?
c. Ten minutes is equal to 1/6 of an hour. How many minutes does Carl work dog walking each week?
d. How much money does Carl earn each week?

Answers

A) is 50 minutes
B) 5.83 hours
C) 350 minutes
D)he would make $18.95 a week

Help me please, need it asap

Answers

A=84 let me know if you want me to show my work

Answer:

the answer is 97,4 kilometers

What is the slope of the line that passes through the points (-9,8) and
(-21, 10)? Write your answer in simplest form.

Answers

Answer:

The slope is -1/6

Step-by-step explanation:

We simply use the slope formula here

Mathematically, we have this as;

m = (y2-y1)/(x2-x1)

thus;

m = (10-8)/(-21 + 9) = 2/-12 = -1/6

Find AB
D
A
5x B 4x + 3 C
AB

Answers

Answer:

15 units

Step-by-step explanation:

ΔADC is an isosceles triangle because it has 2 equal sides

AB = BC       (DB is median so cuts AC into 2 equal parts)

AB = 5x, BC = 4x + 3

      5x = 4x + 3

5x - 4x = 4x - 4x + 3          (subtracting 4 from both sides)

        x = 3

AB = 5x

     = 5(3)

     = 15 units

Happy to help :)

The length of [tex]AB[/tex] is required.

The length of [tex]AB=15[/tex]

Triangles

[tex]AB=5x[/tex]

[tex]BC=4x+3[/tex]

The given triangle is an isosceles triangle with a line perpendicular to [tex]AC[/tex] passing through [tex]D[/tex].

This means that [tex]AB=BC[/tex]

[tex]5x=4x+3\\\Rightarrow 5x-4x=3\\\Rightarrow x=3[/tex]

[tex]AB=5x=5\times3\\\Rightarrow AB=15\ \text{units}[/tex]

Learn more about triangles:

https://brainly.com/question/1675117

What is the value of g(-3) if f(x)=2x-1 and g(x)=-x+1?

Answers

Answer:

it's answer is 4

Step-by-step explanation:

given

g(x) = - x + 1

g(-3) = -(-3) + 1

= 3 + 1

=4

Hope it will help you :)❤

The top and bottom margins of a poster are each 6.5 cm and the side margins are each 4.5 cm. The area of printed material on the poster is fixed at 384 cm^2.

Answers

Answer:

384cm^2,

Step-by-step explanation:

The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 cm^2,

You can rent a car via two options. Option A charges $20 per day plus $0.10 per mile. Option B charges $0 per day, but $0.50 per mile. How many miles must you drive in one day for option A to be cheaper?

Answers

Answer:

50 miles

Step-by-step explanation:

Step one

given data

let the total charge be y and the number of miles be x

Option A charges $20 per day

plus $0.10 per mile.

y= 20+0.1x---------------1

Option B charges $0 per day,

but $0.50 per mile

y= 0.5x---------------2

equate 1 and 2 we have

20+0.1x=0.5x

20=0.5x-0.1x

20=0.4x

divide both sides by 0.4

x= 20/0.4

x=50 miles

Thomas got a flat tire and had to walk 1/4 mile to the nearest gas station. How many feet did Thomas walk?

Answers

Answer:

[tex]1320\ \text{feet}[/tex]

Step-by-step explanation:

The distance Thomas walked to the nearest gas station is [tex]\dfrac{1}{4}\ \text{mile}[/tex].

The conversion factor for miles to feet is

[tex]1\ \text{mile}=5280\ \text{feet}[/tex]

So

[tex]\dfrac{1}{4}\ \text{mile}=\dfrac{1}{4}\times 5280[/tex]

[tex]=1320\ \text{feet}[/tex]

Hence, Thomas had to walk [tex]1320\ \text{feet}[/tex] to get to the nearest gas station.

A zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 feet and the perimeter of the habitat should be no more than 300 feet


Write a system of linear inequality:___________


Please help!! It’s due within 20 minutes!! Please..

Answers

Answer:

Step-by-step explanation:

Let x ft be the length of the fence and y ft be the width of the fence.

1. The length of the habitat should be at least 80 feet, then

2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fences 2x+2y ft, then

3. The system of inequalities that represent the model is

The graph of these inequalities is attached.

Two possible solutions are

1. x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);

2. x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).

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