All categories

2 years ago

Find the equation of the line that passes through (1,6) and (3,10).

Mathematics

1 answer:

anastassius [24]2 years ago

6 0

Answer:

m = (y2 - y1) / (x2 - x1) = (10 - 6) / (3 - 1) = 2 slope of line

y = m x + b standard form of straight line

y = 2 x + b where b is the intercept at x = 0

b = y - 2 x

b = 6 - 2 = 4 from our first equation

Also, b = 10 - 6 = 4 check from second equation

y = 2 x + 4 is our equation

Check if y = 6 and x = 1 then

y = 2 * 1 + 4 = 6 verifying the first point given

You might be interested in

What's the answer for this question? (The numbers after the letters are indexes btw) 27a9 x 18b5 x 4c2 Over 18a4 x 12b2 x 2c

zysi [14]

Answer:

$\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c} = \frac{9}{2}a^5b^3c$

Step-by-step explanation:

Given

$\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c}$

Required

Simplify

$\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c}$

Cancel out 18

$\frac{27a^9 * b^5 * 4c^2 }{a^4 * 12b^2 * 2c}$

Divide 4 and 2

$\frac{27a^9 * b^5 * 2c^2 }{a^4 * 12b^2 *c}$

Divide 27 and 12 by 3

$\frac{9a^9 * b^5 * 2c^2 }{a^4 * 4b^2 *c}$

Apply law of indices

$\frac{9a^{9-4} * b^{5-2} * 2c^{2-1} }{4}$

$\frac{9a^5 * b^3 * 2c }{4}$

Divide 2 and 4

$\frac{9a^5 * b^3 * c}{2}$

$\frac{9a^5b^3c}{2}$

Rewrite as:

$\frac{9}{2}a^5b^3c$

Hence:

$\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c} = \frac{9}{2}a^5b^3c$

4 0

2 years ago

Consider the sequence 8, 14, 20, 26, . . .. (a) What is the next term in the sequence? 2.2 Exercises 98 (b) Find a formula for t

omeli [17]

Answer:

Step-by-step explanation:

Each term of the given arithmetic sequence is 6 more than the previous one. Thus, the next term is 26+6, or 32.

a(n) = 8 + 6(n-1)

3 0

3 years ago

Solve the equation for x 1/3(x-15) =95 A. X= 105 B. X= 215 C. X= 300 D. X= 310

Korolek [52]

The answer is c x=300

7 0

2 years ago

Read 2 more answers

My grandmothers sugar cookie recipe calls for 2 2/3 cups of sugar to make 16 cookies. How much sugar is needed to make 90 cookie

vivado [14]

Step-by-step explanation:

8/3 cups of sugar is needed to make 16 cookies.

For 90 cookies, we will need 8/3 * 90/16 = 15 cups of sugar.

5 0

2 years ago

HELP PLEASE 10 POINTS!!!!!! A country's population in 1993 was 171 million. In 1999 it was 176 million. Estimate the population

Lilit [14]

Let 1993 = time 0 = 0.

Let 1999 = time 6 = 6

Let 2012 = time 19 = 19

So, a = 171 (million). First solve for k.

176 = 171 e^k6

176/171 = e^(k*6)

ln (176/171) = 6k

k = 1/6 ln (176/171)

So, in 2012 we have: P(19) = 171 e^(19k), where k = 1/6 ln (176/171)

Hope this helped!

3 0

2 years ago