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
- 2x+4 what’s the answer
Setler [38]

What do you mean by answer? you cannot solve for a numerical value without setting it equal to anything.

the only thing you can do is factor out a 2

2(-x +2)

6 0
2 years ago
The price of a sweater was reduced from $20 to $12, By what percentage was the price of the sweater reduced?
zalisa [80]

Answer:

40%

Step-by-step explanation:

12 ÷ 20 = .6

You can convert the .6 to a percentage by multiplying it:

.6 x 100 = 60%

If 12 is 60% of 20, then that means 40% was taken away.

4 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (4, 1) and (6,4).
Alex

Answer:

Step-by-step explanation:

7 0
3 years ago
Find the value of x <br> :D
Bumek [7]

Answer:

25 now give me brainliest plz

Step-by-step explanation:

5 0
3 years ago
How many bags of each cookie did Stephanie sell? How many total bags of cookies did she sell
____ [38]
Numbers for the equation
4 0
2 years ago
Other questions:
  • A hockey game had 2,058 fans Friday night. The baseball game has 1,300 fans that night. How many more fans were at the hockey ga
    7·2 answers
  • 0.15=0.150 true or false
    5·1 answer
  • Erica bought a car for $24,000. She had to add Pennsylvania’s sales tax of 6%. The total price of the car is closest to?
    8·1 answer
  • Using the distributive property, which expression is equivalent to 5(32)? 5(3+2) 32(5+2) 5*30 + 2*30 5(30+2)
    15·2 answers
  • What is the gcf of 8 and 16
    9·2 answers
  • What is the measure of the angle?
    11·1 answer
  • The results of a poll indicate that between 33% and 37% of the population of a town visit the library at least once a year.
    5·1 answer
  • Tamara received a credit of $25 at the yarn store. What amount can she spend using the credit?
    11·1 answer
  • If the area of ABD is 1950 cm², What is the area of ABC ?​
    12·1 answer
  • Please provide the answer for the x and z as seen in the image
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!