All categories

3 years ago

Which equation represents the line that passes through the points (2, 4) and (1, -3)?

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

6 0

Answer:

y = 7x - 10

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 )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (1, - 3)

m = $\frac{-3-4}{1-2}$ = $\frac{-7}{-1}$ = 7, thus

y = 7x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 4), then

4 = 14 + c ⇒ c = 4 - 14 = - 10

y = 7x - 10 ← equation of line

You might be interested in

Write a function g whose graph represents a reflection in the y-axis followed by a translation 3 units to the right of the graph

svp [43]

Answer:

$g(x) = |x - 3|$

Step-by-step explanation:

Given

$f(x) = |x|$

Required

Translate 3 units right

The result of a right translated function is:

$g(x) = f(x - h)$

Where h is the unit of translation

$h = 3$

$g(x) = f(x - 3)$

Solve for f(x - 3)

$f(x) = |x|$

$f(x - 3) = |x - 3|$

Hence;

$g(x) = |x - 3|$

6 0

2 years ago

If f(x) = 3x2 – 4 and g(x) = 2x - 6, what is g(f(2))?

saveliy_v [14]

Answer:

Step-by-step explanation:

find out f(2)

f(2)= (3×2×2) - 4= 8

then g(8) = 16 - 6= 10

4 0

3 years ago

Find the value of x

maks197457 [2]

Answer:

Step-by-step explanation:

∠S=180-(54+62)=180-116=64°

using sin formula

$\frac{x}{sin~64} =\frac{7}{sin~62} \\x=\frac{7~sin~64}{sin~62} \approx 7.1256 \approx 7.13$

6 0

3 years ago

Most ATM’s require a 4-digit code using the digits 0-9 how many 4-digit codes can you use

Zolol [24]

10000 digits can be used for 4 digit A.T.M code.

Solution:

Given that A.T.M required 4 digit codes using the digits 0 to 9.

Need to determine how many four digit code can be used.

We are assuming that number starting with 0 are also valid ATM codes that means 0789 , 0089 , 0006 and 0000 are also valid A.T.M codes.

Now we have four places to be filled by 0 to 9 that is 10 numbers

Also need to keep in mind that repetition is allowed in this case means if 9 is selected at thousands place than also it is available for hundreds, ones or tens place .

First digit can be selected in 10 ways that is from 0 to 9.

After selecting first digit, second digit can be selected in 10 ways that is 0 to 9 and same holds true for third and fourth digit.

So number of ways in which four digit number is created = 10 x 10 x 10 x 10 = 10000 ways

Hence 10000 digits can be used for 4 digit A.T.M code.

7 0

3 years ago

Please Answer This Math Question? Here it is:; There was a typo thank you for saying that its Mrs. Gorski bought a table and 6 c

SCORPION-xisa [38]

So you'd do 980 - 524 = $456, and then 456 ÷ 6 = $76, which is the cost of 1 chair. We already know that 1 table is $524, so if you want 2 tables and 8 chairs you'd do (524 × 2) + (76 × 8), which is 1048 + 608 = $1656, which is your answer. I hope this helps!

6 0

3 years ago