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horsena [70]
3 years ago
10

I need to find the linear function

Mathematics
1 answer:
makkiz [27]3 years ago
4 0

Answer:

y = \frac{1}{2} x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (2, 8) and (x₂, y₂ ) = (10,12) ← 2 ordered pairs from the table

m = \frac{12-8}{10-2} = \frac{4}{8} = \frac{1}{2}

y = \frac{1}{2} x + c ← is the partial equation

to find c substitute any ordered pair into the partial equation

using (6, 10 ), then

10 = 3 + c ⇒ c = 10 - 3 = 7

y = \frac{1}{2} x + 7 ← linear equation


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Please help
pychu [463]

Answer:

<h2>        y = x² - 1</h2>

Step-by-step explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of  every given point we get the squares of x-coordinate:

(1, 0):   1² - 1 = 0

(2, 3):   2² - 1 = 4 - 1 = 3

(3, 8):   3² - 1 = 9 - 1 = 8

(4, 15):   4² - 1 = 16 - 1 = 15

So for any x:

(x, y)   y = x² - 1

6 0
3 years ago
Lydia writes the equation below with a missing value.
Alex73 [517]

If she puts 0 in the box she would have a direct variation.

Lydia writes the equation y = 5x - __ with a missing value.

She puts a value in the box and says that the equation represents a direct variation.

We have to choose the correct option from the given options that explain that the equation could represent a direct variation.

When two variables are such that one is a constant multiple of the other, we said they are in Direct variation.

<h3>What is the direct variation?</h3>

In form of y = ax, where y and x are in direct variation.

Consider the given equation y = 5x  - __

For the equation to be in direct variation the value of the missing term has to be 0.

then the equation becomes,

y = 5x

Thus, If she puts 0 in the box she would have a direct variation.

Option (a) is correct.

To learn more about the direct variation visit:

brainly.com/question/25215474

#SPJ1

3 0
2 years ago
Read 2 more answers
Please solve fast it's urgent​
Paul [167]

Step-by-step explanation:

hope it's helpful to you ☺️

4 0
2 years ago
Read 2 more answers
Consider the functions f(x)=x^2+9x and g(x)= 1/x .
Vikentia [17]

f(g(-1))=-8

g(f(1/2))=4/19

5 0
3 years ago
Help answer these 2 questions please!!! They are Inequality Sentences....
bearhunter [10]

Answer:

n divided by 12 < 1

9 < n - 3

Step-by-step explanation:

for the second equation the inequality symbol is the one with the line under it. my computer doesn't have that sorry

3 0
3 years ago
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