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
s344n2d4d5 [400]
3 years ago
8

Find the equation of the linear function passing through (2,3) and (5,12)

Mathematics
1 answer:
Elis [28]3 years ago
6 0

y = 3x - 3 is the equation of the linear function passing through (2, 3) and (5, 12)

<em><u>Solution:</u></em>

Given that we have to find the equation of linear function passing through (2, 3) and (5, 12)

The formula y = mx + b is said to be a linear function

Where "m" is the slope of line and "b" is the y - intercept

Let us first find the slope of line

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here } x_{1}=2 ; y_{1}=3 ; x_{2}=5 ; y_{2}=12

Substituting values we get,

m=\frac{12-3}{5-2}=\frac{9}{3}=3

Thus slope of line is m = 3

To find the y - intercept, substitute m = 3 and (x, y) = (2, 3) in y = mx + b

3 = 3(2) + b

3 = 6 + b

b = 3 - 6

b = -3

Thus the required equation of linear function is:

Substitute m = 3 and b = -3 in formula

y = mx + b

y = 3x - 3

Thus the equation of linear function is found

You might be interested in
2(3-8y)= Apply the distributive property to create an equivalent expression.
umka2103 [35]

Answer:

6-16y

Step-by-step explanation:

2(3-8y)\\\\\boxed{6-16y}\\\\\\\left \{ {{2*3=6} \atop {2*-8y=-16y}} \right.

Hope this helps.

4 0
3 years ago
Read 2 more answers
You and your friend are selling magazine subscriptions for a fundraiser. After w weeks, you have sold (7w+6) subscriptions and y
Mariulka [41]
You have sold 72, and your friend has sold 74. Meaning your friend has sold 2 more magazine subscriptions than you.
5 0
3 years ago
Simplify 10 divide 5 + 3 x 2.
mylen [45]

Answer:

d 8

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
.092 -.15-.19= how do I solve
photoshop1234 [79]
Line up the decimal point to each number in order from left to right and subtract to get the difference which should be -0.248
5 0
3 years ago
What is the prime factorization of 24?
Gelneren [198K]

Answer:

2 x 2 x 2 x 3, so its E

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Damien wants to deposit $1200 into savings accounts at three different banks: Bank of Chance, Merchant Bank, and Utopian Financi
    12·2 answers
  • You asked amusement park visitors the question "How many times did you ride a roller coaster today?" as they left the park. The
    10·2 answers
  • a triangle is placed in a semicircle with a radius of 7cm, as shown below. find the area of the shaded region. use the value 3.1
    10·1 answer
  • Please help me complete the blanks!!
    10·1 answer
  • <img src="https://tex.z-dn.net/?f=%28%20-%208x%7D%5E%7B2%7D%20%20-%205x%20-%206%29%20%2B%20%28%20-%20x%20%7B%20%7D%5E%7B2%7D%20-
    12·1 answer
  • If you change the sign of a point's x-coordinate, how does the location of the point change? CLEAR CHECK The point moves down an
    5·1 answer
  • A tent with a price of $165 is subject to a sales tax of 5%. What is the total price of the tent?
    14·1 answer
  • A savings account increases from $200 to $210 what is the percent increase of the savings in the account.
    11·1 answer
  • Need help with this asap
    8·1 answer
  • Julia's mom is planning a surprise birthday party for her. Her mom asked some of Julia's friends what type of food she should se
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!