All categories

3 years ago

What is the equation of this line in slope

Mathematics

1 answer:

Alex3 years ago

7 0

Answer:

The Answer is: y - 8 = 5/3(x - 3)

Step-by-step explanation:

Given the y intercept form:

y = 5/3x + 3

Note that the slope is 5/3.

Find a point on the line.

Choose x = 3, solve for y:

y = 5/3(3) + 3

y = 5 + 3

y = 8

This give you the point:

(3, 8)

Use this to substitute into the point slope equation:

y - y1 = m(x - x1)

y - 8 = 5/3(x - 3)

You might be interested in

Calculate the value of x in the equation 2x - 15 =5 - 3×

pshichka [43]

$\bold{2x - 15 = 5 - 3x} \\ \bold{2x + 3x = 15 + 5} \\ \bold{5x =20 } \\ \bold{x = \cancel{ \frac {20}{5} }} \\ \bold{x = 4}$

Hope it helps

3 0

1 year ago

Read 2 more answers

What is the domain of the function y = 2 StartRoot x minus 5 EndRoot?

Juli2301 [7.4K]

Answer:

The domain of the function should be:

'x greater than or equal to negative -5'.

Hence, option A is true.

Step-by-step explanation:

Given the expression

$2\sqrt{x-5}$

The domain of a function is the set of input or arguments for which the function is real and defined

We know that the value, inside the radicand, is the number found inside a radical symbol which must be greater than 0, otherwise, it would make the function undefined,

i.e.

x-5 ≥ 0

x ≥ 5

In other words, the domain of the function should be:

'x greater than or equal to negative -5'.

Therefore, the domain of the function:

x ≥ 5

$\mathrm{Domain\:of\:}\:2\sqrt{x-5}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:5\:\\ \:\mathrm{Interval\:Notation:}&\:[5,\:\infty \:)\end{bmatrix}$

Hence, option A is true.

3 0

2 years ago

Read 2 more answers

Please give answer of 6 number

Irina18 [472]

Answer:

$7,500$

Step-by-step explanation:

Let's solve this problem step-by-step. The library had 1,500 books in 2011. The ratio of books in 2011 and in 2012 is 1:2. Therefore, let the number of books in 2012 be $x$ .