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
agasfer [191]
3 years ago
7

Write the equation of the given line in slope-intercept form.​

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
7 0

Answer:

y = 2x - 1

Step-by-step explanation:

Slope intercept form: y=mx+b

point a: (1, 1)

point b: (2, 3)

1. Find the slope of the equation

Equation for slope(mx): (y2- y1)/ (x2-x1)

(3-1)/(2-1)= 2

slope: 2

2. Pick any of the two point to find the "b" and plug in the coordinates of the point to find the y-intercept of the equation.

point a: y=1, x=1

y=mx+b

1=2(1) + b

b= -1

3. Plug the answers you found above into the slope-intercept form

Overall equation:

y=2x - 1

You might be interested in
A deer population is declining by 2.2% per year. The population can be modelled using the formula p = 240(0.978)n , where P is t
ale4655 [162]

Answer:

The current deer population is 240.

Step-by-step explanation:

The expression given models a exponential decay follows:

p(n) = 240*(0.978)^n

For every year that passes since the beginning of the count the population is 0.978 of the year prior. Assuming that the count starts at this year, then "n" is equal to 0, applying this value of n to the formula gives us:

p(0) = 240*(0.978)^0\\p(0) = 240*1 = 240

The current deer population is 240.

3 0
3 years ago
while visiting a mountain, John approximated the angle of elevation to the top of a hill to be 25 degrees. Alfter walking 350 fe
strojnjashka [21]
There are several ways of going about this problem, but just know that it all boils down to triangles and the rules/laws of triangles.
So we start by making a large right triangle, because the hill is vertical with the horizontal ground, with 25° as the left angle (where John looks up to top), 90° is the right angle (where ground meets hill base). So we see that the top side of the triangle is the hypotenuse, and equals the line of sight from John to hilltop.
Now we've got additional information that if John walks 350ft towards the hill, his angle of elevation increases by 14. So that = 25+14 = 39. How does that possibly help us?? Well now we can make 2 triangles inside of the one we've already made. So that now we have the triangle base split between the left angle of 25° and where he stopped 350ft to the right of that.
Now the supplement of 39 is 141, and the remaining piece of that too left triangle = 180-25-141 = 14. What does that mean? Well now we have a triangle, where we know all 3 angles and 1 side --> we can find another side by the law of sines:
If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of sines states:
a÷sinA = b÷sinB = c÷sinC
We really need the hypotenuse to then find our hill height, so we'll make hypotenuse = side b in attached image. That being so, then its opposite angle (B) = 141. And the top right angle (C) = 14 with its opposite side (c) = 350ft.
Now we only need b÷sinB = c÷sinC
So b/sin141 = 350/sin14 --> b = 350sin141/sin14 = 350×.63/
b = 220.3/.24 = 910.47 ft
Now that's our hypotenuse, so using our original large right triangle, we can use right triangular trig. to solve. Let's make the right side, our hill height, equal to x.
Sin ¥ = opp. side / hypotenuse -->
Sin ¥ = x / hypotenuse
Sin25 = x / 910.5
x = 910.5×sin25 = 910.5×.423
x = 384.8 ft

3 0
3 years ago
Last yearrhere were 1436 8th grade students enrolled at your school. This year there are 1220. What is the percent change in the
Tanzania [10]

\frac{1220 \times 100}{1436}  \approx 85\% \\ 100\% - 85\% = 15\% \: change

8 0
3 years ago
A box of 21 holiday cards sells for $3.99. What is the unit price per card?
qaws [65]

Answer:

i think its .19 hope it helps

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Sandy baked 4 1/2 pounds of cookies. She divided the cookies equally among two friends and herself. How many cookies did each pe
suter [353]

Answer:

Each person would get 1 1/2 pounds worth of cookies

Step-by-step explanation:

4 1/2 pounds of cookies divided equally among 3 people

4 1/2 pounds divided by 3 people = 1 1/2 pounds of cookies

Each person gets 1 1/2 pounds of cookies

8 0
3 years ago
Other questions:
  • -2x+2y=6 7x-8y=-27 what is the solution
    15·1 answer
  • DO ANYONE KNOW ANYTHING ABOUT REFLECTIONS​
    6·1 answer
  • 8 of 10
    12·1 answer
  • Anyone know how to do this?
    12·2 answers
  • What is (x) in this problem 3/5=(-x)+1
    13·1 answer
  • A rectangle is inscribed in a circle.
    9·1 answer
  • How do you graph 3 and 4??? I know you have to find the coordinates but how?? Please explain
    6·1 answer
  • HELPPPPPPPPPP ILL HELP BACK
    5·2 answers
  • I need to know the Anserw to this question
    13·1 answer
  • Select the correct answer.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!