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2 years ago

How can you write the equation for a linear function if you know only two ordered pairs for the function?

Mathematics

2 answers:

zlopas [31]2 years ago

8 0

Answer:

Use the two ordered pairs to find the slope, m.

Then substitute one set of ordered pairs and m into y = mx + b to solve for b

Step-by-step explanation:

If we are given two ordered pairs of a function and we need to write an equation that represents the linear function, first, what we need to do is to use the two ordered pair to find the slope, m, using the formula, $m = \frac{y_2 - y_1}{x_2 - x_1}$ .

After getting the slope (m), find the value of the y-intercept (b), by substituting the value of one of the ordered pairs and the slope value (m) into y = mx + b.

Once the value of m and b is known, plug in the value of m and b into y = mx + b to derive the equation of the linear function.

Deffense [45]2 years ago

4 0

Answer:

Use the two ordered pairs to find the slope, m .

Then substitute m and one set of ordered pairs into y = mx + b to solve for b .

Step-by-step explanation:

You might be interested in

Select all the points that are on the line through (0 5) and (2 8) A.(5 11) B.(5 10) C.(6 14) D.(30 50) E.(40 60)

mihalych1998 [28]

Answer:

Options C. and D. are correct.

Step-by-step explanation:

Let $(x_1,y_1)=(0,5),\,(x_2,y_2)=(2,8)$

Equation of a line is given by $y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)$

$y-5=(\frac{8-5}{2-0})(x-0)\\\\y-5=\frac{3}{2}x\\\\2y-10=3x\\3x-2y+10=0$

Put $(x,y)=(5,11)$

$3(5)-2(11)+10=15-22+10=3\neq 0$

Put $(x,y)=(5,10)$

$3(5)-2(10)+10=15-20+10=5\neq 0$

Put $(x,y)=(6,14)$

$3(6)-2(14)+10=18-28+10=0$

Put $(x,y)=(30,50)$

$3(30)-2(50)+10=90-100+10=0$

Put $(x,y)=(40,60)$

$3(40)-2(60)+10=0\\120-120+10=10\neq 0$

So, points $(6,14),\,(30,50)$ satisfy the equation $3x-2y+10=0$

Therefore,

points $(6,14),\,(30,50)$ lie on the line through $(0,5)$ and $(2,8)$

Options C. and D. are correct.

8 0

2 years ago

Julia has 4 gallons 2 quarts of water.Ally needs the same amount of water but only has 12 quarts.How much more water does Ally n

denis-greek [22]

Well there are 4 quarts to a gallon and 4 / 12 = 3 so she has 3 gallons so she needs 1 gallon and 2 quarts
so the answer is 1Gallon and 2Quarts

7 0

3 years ago

What can you turn 343/81 into

andrew-mc [135]

It can be turned into 4•19/81 (mixed proper fractions) or in decimal 4.2346 (4dp)

5 0

2 years ago

5750 divided by 3.78

Tems11 [23]

Answer:

1521.16402

Step-by-step explanation:

use fraction- division format $\frac{x}{y}$

$\frac{5750}{3.78}$

Multiply the numerator and denominator by 100

$\frac{575000}{378}$

Reduce by 2

$\frac{287500}{189}$

Now do long division

1521. 164022

189|287500

- 189

985

- 945

400

- 378

220

- 189

310

- 189

1210

- 1134

760

- 756

- 0

400

- 378

5 0

1 year ago

Read 2 more answers

There are 9 people that have a conversation with each other exactly one time.

Sedbober [7]

The question is an illustration of arithmetic sequence.

The number of conversation for 19 people is 171

(a) 9 people

$Total = \frac{9 \times 8}{2}$

9 represents the number of people

8 represents the number of conversation each person had

2 represents the number of people having a conversation at once (i.e 2 people at once)

(b) 19 people

We have:

$n = 19$

The number of conversation is:

$Total = \frac{n \times (n -1)}{2}$

So, we have:

$Total = \frac{19 \times (19 -1)}{2}$

$Total = \frac{19 \times 18}{2}$

$Total = 19 \times 9$

$Total = 171$

Hence, the number of conversation for 19 people is 171

Read more about arithmetic sequence at:

brainly.com/question/18109692

5 0

2 years ago