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
Vitek1552 [10]
3 years ago
12

Write an equation of the line in slope-intercept form that passes through the given point with the given slope. (1,9) slope 4

Mathematics
1 answer:
pychu [463]3 years ago
3 0

Answer:

y=1x+5y

The yyy-intercept of the line is (0,\greenE{3})(0,3)left parenthesis, 0, comma, start color #0d923f, 3, end color #0d923f, right parenthesis, so we know that \greenE{b}=\greenE{3}b=3start color #0d923f, b, end color #0d923f, equals, start color #0d923f, 3, end color #0d923f.

Finding \maroonC mmstart color #ed5fa6, m, end color #ed5fa6

Recall that the slope of a line is the ratio of the change in yyy over the change in xxx between any two points on the line:

\text{Slope}=\dfrac{\text{Change in }y}{\text{Change in }x}Slope=

Change in x

Change in y

​

start text, S, l, o, p, e, end text, equals, start fraction, start text, C, h, a, n, g, e, space, i, n, space, end text, y, divided by, start text, C, h, a, n, g, e, space, i, n, space, end text, x, end fraction

Therefore, this is the slope between the points (0,3)(0,3)left parenthesis, 0, comma, 3, right parenthesis and (2,7)(2,7)left parenthesis, 2, comma, 7, right parenthesis:

\begin{aligned}\maroonC{m}&=\dfrac{\text{Change in }y}{\text{Change in }x} \\\\ &=\dfrac{7-3}{2-0} \\\\ &=\dfrac{4}{2} \\\\ &=\maroonC{2}\end{aligned}

m

​

 

=

Change in x

Change in y

​

=

2−0

7−3

​

=

2

4

​

=2

​

In conclusion, the equation of the line is y=\maroonC{2}x\greenE{+3}y=2x+3y, equals, start color #ed5fa6, 2, end color #ed5fa6, x, start color #0d923f, plus, 3, end color #0d923f.

Step-by-step explanation:(0,5)left parenthesis, 0, comma, start color #0d923f, 5, end color #0d923f, right parenthesis is the yyy-intercept of the line, so \greenE{b}=\greenE{5}b=5start color #0d923f, b, end color #0d923f, equals, start color #0d923f, 5, end color #0d923f.

Now we find the slope by using the two points:

\begin{aligned} \maroonC{m}&=\dfrac{(9)-(5)}{(4)-(0)} \\\\ &=\dfrac{4}{4} \\\\ &=\maroonC{1} \end{aligned}

m

​

 

=

(4)−(0)

(9)−(5)

​

=

4

4

​

=1

​

Therefore, the equation of the line is y=\maroonC{1}x\greenE{+5}y=1x+5y, equals, start color #ed5fa6, 1, end color #ed5fa6, x, start color #0d923f, plus, 5, end color #0d923f.

You might be interested in
The sum of two numbers is 51 and the difference is 27. What are the numbers?
Bezzdna [24]

Answer:

26

Step-by-step explanation:

50-20=30+1=31-7=26

5 0
3 years ago
Emery bought 3 cans of beans that had a total weight of 2.4 pounds. If each can of beans weighed the same amount, which model co
mr_godi [17]

Answer:

0.8

Step-by-step explanation:

6 0
3 years ago
Edge lengths are given in units. Find the surface area of each prism in square units.
Nikolay [14]

Answer:

408 units^2

Step-by-step explanation:

area of triangle: 1/2(6)(8)=24

24*2=48

area of bottom rectangle: 6(15)=90

area of front rectangle: 15(10)=150

area of back rectangle: 8(15)=120

48+90+150+120=408

Therefore, 408 units^2

I hope this helped and have a good rest of your day!

6 0
3 years ago
Jodie ran at an average speed of 6 km/h for 40 minutes.
Ann [662]

Answer:

The answer to Jodie ran at an average speed of 6 km/h for 40 minutes.

How far did she run in km is 4 km.

Step-by-step explanation:

6 km/1 hr is the same as 6 km/ 60 min. Set up a proportion of (x km/ 6 km) =  ( 40 min/ 60 min)

Thus 60x = 240.... x=4/

5 0
1 year ago
effrey typed 110 words in 2 2/3 minutes. At this rate, how many words can he type in 4 1/4 minutes?
MakcuM [25]

First, you find the rate at which Jeffery types.

110 divides by 2.75. This makes 40.

Then to find the amount of words he types in 4.25 minutes,

40 x 4.25. This makes 170.

So Jeffery can type 170 words in 4 1/4 minutes.

Click to let others know, how helpful is it

6 0
2 years ago
Other questions:
  • A 10-ounce container of chocolate chips can be used to make 4 desserts. Each dessert has the same amount of chocolate chips. Whi
    9·2 answers
  • The ratio of the measures of the angles in a triangle is 2:9:4 what is the measure of the largest angle ?
    13·2 answers
  • Natalie made two statues of a giraffe the first measures 16 feet tall and the second measures 6 inches tall what is the differen
    5·1 answer
  • 220 students went on a field trip. eight buses were filled and 4 students traveled in car. how many students were in each bus?​
    11·1 answer
  • Which expression is equivalent to 36 / 4?
    13·1 answer
  • Solve the system of equations -x-2y=0 and -x+y=6 by combining the equations
    14·1 answer
  • Find the slope of a line through the points (-1,-9) and (4,-2).
    12·2 answers
  • 2/3 as afraction with a denominator of 6
    9·1 answer
  • Answer with explanation please! tysvm!
    10·1 answer
  • Can anyone help me with this?​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!