Third term of (x + 3) 12

Find the equation of the line through the points (0, –3) and (4, 5)

vekshin1

Answer:

y=2x-3

Step-by-step explanation:

Hi there!

We are given the points (0, –3) and (4, 5)

We want to find the equation of the line between these points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

To write the equation of the line in this way, we need to first find the slope of the line
The slope can be found using the formula $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We already have 2 points, but let's label their values to avoid confusion and mistakes when calculating.

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{5--3}{4-0}$

Simplify

m= $\frac{5+3}{4-0}$

m= $\frac{8}{4}$

Divide

m=2

We found the slope of the line.

Here is the equation of the line so far:

y=2x+b

Now let's find b

As stated before, b is the y intercept of the line, which is the point where the line passes through the y axis; the value of x at the y intercept is 0

One of the points we were given (0, -3) is actually the y intercept of the line!

The value of b is the value of y at the y intercept; in this case, b is equal to -3

Now substitute -3 as b in the equation.

y=2x-3

Hope this helps!

See more on this topic here: brainly.com/question/27172025

5 0

2 years ago

According to the graph, what is the value of the constant in the equation below?

kow [346]

Option B: 50 is the value of the constant.

Explanation:

From the graph, the coordinates are $(4,12.5)$ , $(5,10)$ , $(10,5)$ and $(20,2.5)$

Where the x coordinates denotes the width and the y - coordinates denotes the height.

Also, given that $Height =\frac{ { Constant }}{{ Width }}$$

We need to determine the value of the constant

Value of the constant:

The value of the constant can be determined using the formula,

$Height \times weight=Constant$

Since, all the coordinates lie on the same line, then all the coordinates have the constant.

Substituting the coordinate $(4,12.5)$ in the above formula, we get,

$4\times 12.5=Constant$

$50=Constant$

Therefore, the value of constant is 50.

Hence, Option B is the correct answer.

5 0

3 years ago

1/2 x + 4 = 15 x = 22 x= 38 x = 5.5 x = -22

stira [4]

Answer:

x=22

Step-by-step explanation:

To find the x value, you need to use reverse PEMDAS (or GEMDAS as I've seen some people call it)

First, you subtract 4 from both sides of the equation. This should give you:

1/2x=11

Then, you divide 1/2 on each side. Although it's easier to multiply 2 on each side instead. This will give you.

x=22

8 0

4 years ago

Read 2 more answers

Someone please explain how to do this problem? :) Factor completely 2c5 + 44c4 + 242c3.

frez [133]

2c5+44c4+242c32c5+44c4+242c3=2c3(c+11)(c+11)

8 0

4 years ago

Read 2 more answers

A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely. Show your work.

pentagon [3]

$\displaystyle S_k = \sum\limits_{i=1}^k{i(i+1)} = \dfrac{k(k+1)(k+2)}{3} \\ \\ S_{k+1} = \sum\limits_{i=1}^{k+1}{i(i+1)} = \dfrac{(k+1)(k+1+1)(k+1+2)}{3}=\\ \\ = \dfrac{(k+1)(k+2)(k+3)}{3}$

4 0

3 years ago