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
xeze [42]
2 years ago
7

A line with a slope of 2 passes through the point (9, 10). What is its equation in slope-intercept

Mathematics
1 answer:
defon2 years ago
7 0

Answer:

y=2x-8

Step-by-step explanation:

Hi there!

We want are given a line with a slope of 2, that passes through the point (9, 10)

We want to find the equation of this line in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope, we can immediately plug it in as m in the formula.

y=2x+b

Now we need to find b, which is the value of the y intercept

As the equation passes through the point (9, 10), it is a solution to the equation, meaning that if we plug it into the equation of the line, it will create a true statement.

So we can use its values of x and y to help us solve for b.
Substitute 9 as x and 10 as y in the equation.

10=2(9) + b

multiply

10=18+b

Subtract 18 from both sides to isolate b on one side

-8=b
Substitute -8 as b into the equation

y=2x-8
Hope this helps!

If you would like additional problems to practice, here are two of them, both with explanations (n.b., the solution to the first link included uses a different method from the one in this answer.)
brainly.com/question/18112053
brainly.com/question/25508767

You might be interested in
Christopher's back yard is in the shape of a trapezoid. The bases of his back yard are 30 and 40 feet long. The area of his back
quester [9]

Answer:

15 feet

Step-by-step explanation:

525 = ½(30+40)h

525 = 35h

h = 525/35

h = 15 feet

4 0
3 years ago
Which is the most effective way to obtain a random sample of your school population
Ierofanga [76]
Ask every fifth person that exits the school
(systematic random)
8 0
3 years ago
What is the value of y in the product of powers below?
Marat540 [252]

Answer:

y =0

Step-by-step explanation:

From the equation;

8³ × 8⁻⁵×8^y = 8⁻²= 1/8²

From the laws of indices;

aⁿ×aⁿ = a^2n

Therefore;

8³ × 8⁻⁵×8^y = 8^(3+-5+y)

8^(-2+y) = 8^-2 ; but the bases are the same and thus the exponents are the same;

-2 + y = -2

      y = 0

8 0
2 years ago
Read 2 more answers
How many liters of pure water should be mixed with 18 liters of a12% saline solution to make a saline solution that is 3% salt?
Volgvan

Answer: .42857 liters of pure water


Step-by-step explanation:2.4 = .7w + 2.1

2.4 - 2.1 = .7w

.3 = .7w

w = .3%2F.7


3 0
3 years ago
Williams is six years younger than three times Alex's age Williams is 33 years old how old is Alex A 9 years old
Harrizon [31]
W = 3A - 6
W = 33

33 = 3A - 6
33 + 6 = 3A
39 = 3A
39/3 = A
13 = A.....he is 13

8 0
3 years ago
Other questions:
  • Please help I’m stuck
    11·1 answer
  • Which pairs of quadrilaterals can be shown to be congruent using rigid motions?
    9·2 answers
  • Determine whether 49x^2 − 25 is a difference of two squares. If so, factor it. If not, explain why.
    6·2 answers
  • Which ordered pair is not a point on the graph of y = 1/2x - 7
    12·1 answer
  • A stores balance sheet represents the amounts customer owe as negative numbers and credits to customers as positive numbers.
    13·1 answer
  • The temperature on Monday was - 23 F . The temperature on Tuesday was 18 degrees higher. What was the temperature on Tuesday?
    9·1 answer
  • What is the arc measure of minor arc AB in degrees?
    11·1 answer
  • I just want to have fun​
    9·2 answers
  • What does n mean in -10(n-5)=40
    5·2 answers
  • Consider a game board that has 49 squares. You place 1 grain of wheat on the first square, 2 on the next, 4 on the next, 8 on th
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!