All categories

3 years ago

find the equation for the line passing through the point (-2,4) and parallel to the line whose equation is y=3x+11

Mathematics

1 answer:

ycow [4]3 years ago

4 0

Answer: y = 3x+10

------------------------------------------------------------------------------------

Explanation:

The line y = 3x+11 is in slope intercept form y = mx+b where m = 3 is the slope. Anything parallel to this line will also have a slope of 3. Let's plug in m = 3 and (x,y) = (-2,4) which is the point this parallel line goes through.

y = mx+b

y = 3x+b ... replace m with 3

4 = 3(-2)+b ... replace x with -2; replace y with 4

4 = -6+b

4+6 = -6+b+6 ... add 6 to both sides

10 = b

b = 10

Since m = 3 and b = 10, this means that y = mx+b turns into y = 3x+10

You might be interested in

Mrs. Torres wants to know how many students wear thelr uniforms. In order to gather data, she stands by the front door and recor

Mekhanik [1.2K]

Answer:

Observational Study

Step-by-step explanation:

Because she stands by the front door and records each student

5 0

2 years ago

Whats between 0 and <img src="https://tex.z-dn.net/?f=%20%5Cpi%20%2F2" id="TexFormula1" title=" \pi /2" alt=" \pi /2" align="abs

Nataly_w [17]

Pi divided by 2 is <span>1.57079632679 so anything bigger than 0 and less than that number should be between.</span>

7 0

3 years ago

Steve and Ben have some money in their wallets. If Steve gives Ben $3, Ben will have twice as much as Steve. If Ben gives Steve

Zigmanuir [339]

Answer:

Money owned by Steve = $11

Money owned by Ben = $13

Step-by-step explanation:

Let x denotes the money owned by Steve and y denotes the money owned by Ben.

Then, Steve gives $3 to Ben

Money left with Steve = x-3 and Ben = y+3

Now, Ben will have twice as much as Steve.

⇒ y+3 = 2(x-3) .............(1)

If Ben gives Steve $7

Money left with Steve = x+7 and Ben = y-7

Then, the amount Ben has will be one-third that of Steve’s.

⇒ y-7 = $\frac{1}{3}$ (x+7) ..........(2)

Solving equation (1) and (2) by elimination method, we get

x = 11 and y = 13

⇒ Money owned by Steve = $11

Money owned by Ben = $13

5 0

3 years ago

The rate at which people learn about a secret is directly proportional to the number of people who know the secret. If two peopl

fenix001 [56]

Answer:

between 222 and 223 days

Step-by-step explanation:

This relation includes the point (0, 2).

A proportional relation must include the point (0, 0).

This is not proportional, but it may be linear.

Points: (0, 2), (2, 20)

y = mx + b

20 = (20 - 2)/(2 - 0) × 2 + b

20 = 18/2 × 2 + b

b = 2

y = 18x + 2

When 4000 people know, y = 4000.

y = 18x + 2

4000 = 18x + 2

3998 = 18x

x = 3998/18

x = 222.111...

Answer: between 222 and 223 days

8 0

2 years ago

HOW DO I DO THISSS ITS LINEAR WORD PROMBLEMS WITH GRAPHS

777dan777 [17]

It took the plane 1700 seconds for the plane to land. If you look at the x-axis, you can see that the x-intercept crosses through the point (0, 1700).

4 0

3 years ago