All categories

3 years ago

A line passes through the point (8, 5) and has a slope of 3.

Mathematics

1 answer:

DaniilM [7]3 years ago

4 0

Answer:

$\displaystyle 3x - y = 19\:or\:y = 3x - 19$

Step-by-step explanation:

Plug the information into the Slope-Intercept Formula:

$\displaystyle 5 = 3[8] + b \hookrightarrow 5 = 24 + b; -19 = b \\ \\ y = 3x - 19$

Suppose you need to write this equation in standard form. You would follow these procedures:

y = 3x - 19

- 3x - 3x

__________

$\displaystyle -3x + y = -19$

*Now, you <em>can</em> leave the standard equation like this, but UNIVERSALLY, the A-term is positive, so you must multiply the negative out as well.

$\displaystyle \boxed{3x - y = 19}$

I am joyous to assist you at any time.

You might be interested in

Compare 9 ⋅ 104 to 3 ⋅ 102.

RoseWind [281]

9×10⁴ is 300 times greater than 3×10²
as, (9×10⁴)/(3×10²)=3× 10²
and the proper of writting powers in computer form is a×10^b

7 0

3 years ago

Read 2 more answers

Add the two expressions 2x + 6 + 6x - 1

castortr0y [4]

Answer: 2x+6+6x-1 = 8x+5

5 0

3 years ago

Read 2 more answers

Karen is planning to drive 2421 miles on a road trip. If she drives 269 miles a day, how many days will it take to complete the

vichka [17]

It will take 9 days. 269 x 9 = 2,421

4 0

3 years ago

Read 2 more answers

32<br> what value of x is the equation 2^2x+ 7 = 2^15true?

Talja [164]

Value of x = 7.499

Step-by-step explanation:

We need to find value of x in the equation: $2^{2x}+ 7 = 2^{15}$

This can be solved using natural log

Solving:

$2^{2x}+ 7 = 2^{15}$

Subtract 7 from both sides:

$2^{2x}+ 7-7 = 2^{15}-7$

Simplifying:

$2^{2x}=32768-7$

$2^{2x}=32761$

Using rule if f(x)=g(x) then, ln(f(x))=ln(g(x))

So,

$ln(2^{2x})=ln(32761)$

Applying log rule: logₐ(x^b)= b logₐ(x)

$2x(ln(2))=ln(32761)$

Divide both sides by 2ln(2)

$2x(ln(2))=[tex]\frac{2x(ln(2))}{2(ln(2))}=\frac{ln(32761)}{2(ln(2))} \\x=\frac{ln(32761)}{2(ln(2))}\\Rewriting\,\,32761\,\,as 181^2\\x=\frac{ln(181^2)}{2(ln(2))}\\x=\frac{2ln(181)}{2(ln(2))}\\x=\frac{ln(181)}{ln(2)}\\x=7.499$

So, Value of x = 7.499

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

3 0

4 years ago

If 6,734 = 6.734 x 10^a then a =

Pani-rosa [81]

Hopes this helps:

Answer: a = 3

Have a great day.

5 0

3 years ago

Read 2 more answers