1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
storchak [24]
2 years ago
15

Point slope formula.. help

Mathematics
2 answers:
Lemur [1.5K]2 years ago
7 0

Answer:

y = 2x+6

Step-by-step explanation:

Attached below is my graph

I graphed the two points, and formed a line

From the point (0,0), i counted the units till the first point the line touches on the y axis (6)

This is the y intercept

The slope-intercept form is written as y = mx+b

m = slope

b = y intercept

So so far we have y = mx + 6

The slope is the rise to the next point the line touches, over the run

You can see that as it rises 2, it runs 1

Rise / Run = 2/1 = 2

Slope = 2

Equation: y = 2x + 6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

sertanlavr [38]2 years ago
6 0
<h3>Answer:   y = 2x+6</h3>

========================================================

Explanation:

We'll need the slope first

m = slope

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

m = (0-(-4))/(-3-(-5))

m = (0+4)/(-3+5)

m = 4/2

m = 2

The slope is 2.

Next, pick either of the two given points to play the role of (x_1,y_1)

Let's say we picked on (-5,-4). The order doesn't matter so you could easily pick the other point as well.

We'll plug these items into the point slope equation below to solve for y.

y - y_1 = m(x - x_1)\\\\y - (-4) = 2(x - (-5))\\\\y  + 4 = 2(x +5)\\\\y  + 4 = 2x +10\\\\y  = 2x +10-4\\\\y  = 2x +6\\\\

Or we could have picked on (-3,0). The m value stays the same (at m = 2)

y - y_1 = m(x - x_1)\\\\y - 0 = 2(x - (-3))\\\\y = 2(x +3)\\\\y = 2x+6\\\\

This one takes a few less steps. Either way, we get to the same answer.

You only need to pick one of the points, but doing both of them helps show that the two points are on the same line. It helps confirm the answer.

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

Another way to check the answer is to plug the (x,y) coordinates into y = 2x+6 for each point.

So let's say we check (x,y) = (-5,-4)

y = 2x+6

-4 = 2(-5)+6 ... replace x with -5, replace y with -4

-4 = -10+6

-4 = -4

This confirms the first point. I'll let you check the second point.

You might be interested in
Farmer Ed has 8,000 meters of fencing &amp; wants to enclose a rectangular plot that borders a river. If farmer Ed does not fenc
attashe74 [19]

Answer:

largest area that can be enclosed = 8,000,000 m²

Step-by-step explanation:

Since it is a rectangle plot, the area is expressed as; A = xy, where x is length and y is width.

Because it is next to the river, he only needs to fence three sides, so amount of fencing; F = x + 2y.

Since we know the amount of fencing available is 8000m, we get:

8000 = x + 2y

solving for x, we have;

x = 8000 - 2y

substitute 8000 - 2y for x into the area equation to give;

A = (8000 - 2y)y distribute

A = -2y² + 8000y

Now, due to the negative sign next to 2, this will be a parabola which opens down, meaning that the point of maximum area will be at the vertex,

Thus; y = -b/2a = -8000/[2(-2)] = 2000

x = 8000 - 2(2000) = 4000

A = 4000(2000) = 8,000,000 m²

8 0
3 years ago
Someone please help thank you
klio [65]

Answer:

Slope is your rise over the run so in this case you will start from a pretty point that passes exactly on the line and go up for you rise and over for your run it will be -1/4 it is negative because the line is pointing down and to the left if it is pointing up to the right it is positive

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the product.<br> 5x2.2y2
ozzi

Answer:10x^2y^2

Step-by-step explanation:

5x2 X 2y2=10x^2y^2

3 0
2 years ago
Need help ASAP! Directions in picture ;)
GuDViN [60]
The supplement of < 72 has the same measure as < (4x + 8). Therefore, < (4x + 8) must equal 108°. We can establish the following equality statement to solve for x:

< (4x + 8) + < 72° = 180°

Combine like terms:
4x + 80 = 180°

Subtract 80 from both sides:

4x + 80° - 80° = 180° - 80°

4x = 100

Divide both sides by 4 to solve for x:

4x/4 = 100/4

x = 25

To verify whether the value of x is correct, substitute its value into the equality statement:

< (4x + 8)° + < 72° = 180°

< [4(25) + 8]° + < 72° = 180°

< (100 + 8)° + < 72° = 180°

< 108° + < 72° = 180°

180° = 180° (True statement. Therefore, the correct answer is x = 25).

Please mark my answers as the Brainliest if you find this helpful :)
6 0
2 years ago
A line that includes the point (4,1) has a slope of 1 7 . What is its equation in point-slope form?
Sergeeva-Olga [200]

Answer:

y = 17x-67

Step-by-step explanation:

The one point form of line also called slope point form is given by

(y-y_1)=m(x-x_1)

where (x1, y1) is the point and m is slope

Given: (x1, y1) = (4,1) and m= 17

Substituting these values in above equation to find equation in point-slope form

(y-1)=17(x-4)

y-1 = 17x-68

y = 17x-67

the point -slope form of equation y = 17x-67

5 0
2 years ago
Other questions:
  • Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months.
    7·1 answer
  • What do you get when you round 490.625 to the nearest tenth
    6·1 answer
  • Do you know the inequality? Please explain and show answer :)
    10·1 answer
  • find an equation for the nth term of the arithmetic sequence. -15, -6, 3, 12, ... select one: a. an = -15 9(n 1) b. an = -15 x 9
    7·1 answer
  • 46 is the sum of 9 and Hector's savings. Use the variable h to represent Hector's savings
    9·1 answer
  • 8 times the difference between a number and 6 is equal to 4 times the number.
    12·1 answer
  • Whoever answers gets brainliest. write 3 and a half hours in minutes please show workinh​
    11·1 answer
  • A physician orders cogentin 1 gm qam and 0.5mg qpm how many 0.5mg tablets are needed for a 1 month supply?
    12·1 answer
  • Kunicki uses a medium and a large measuring cup to measure the ingredients to make his famous Buttery Oatmeal Raisin Cookies. He
    6·1 answer
  • In a city the population is increasing exponentially at a rate of 1.6% per year.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!