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3 years ago

Question 1 (1 point)

Mathematics

1 answer:

Bess [88]3 years ago

5 0

Answer:

one solution

Step-by-step explanation:

they have different slopes and are linear

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Write equation of the line below

vodka [1.7K]

Hi there!

We are given two ordered pairs which are:

(0,0)
(5,4)

If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).

1. Find the slope

Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!

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

Since we have two given points, we can substitute them in the formula.

$\large{m = \frac{4 - 0}{5 - 0} } \\ \large \boxed{m = \frac{4}{5} }$

2. Form an equation.

Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.

$\large \boxed{y = mx + b}$

Where m = slope and b = y-intercept. We substitute m = 4/5.

$\large{y = \frac{4}{5} x + b}$

Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).

$\large \boxed{y = \frac{4}{5} x}$

3. Answer

Therefore the equation of the line is y = 4x/5.

6 0

3 years ago

Hugo puts $200.00 into an account to use for school expenses. The account earns 13% interest, compounded annually. How much will

TiliK225 [7]

Answer:

y=200(1.13)^6= 416.39

Step-by-step explanation:

8 0

3 years ago

5/7 of the people who listen to the speaker working mixed the wrestler unconvinced what was the ratio of the convinced to the un

Zanzabum

1-5/7=2/7, 2/7:5:7= 2:5

5 0

3 years ago

The number of lines that can be drawn perpendicular to a given line at a given point on that line in a plane is

Neko [114]

Only one.
it has a long proof.

3 0

3 years ago

Read 2 more answers

The function h is defined by h(x)=4+3x over 5+x Find h(4z)

Jobisdone [24]

Answer:

h(4z)=4+12z / 5+4z

Step-by-step explanation:

The function h is defined by h(x)=4+3x over 5+x

This can be written as

h(x)=4+3x / 5+x

The value of the function at any time depends on the value of x. x is the independent variable. The variable,x can take any value at any time.

To find h(4z), it means that x is taking the value of 4z.

We will substitute 4z in the place of x in the function. This becomes

h(4z)=4+3×4z / 5+4z

h(4z)=4+12z / 5+4z

5 0

3 years ago