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2 years ago

The graph of a proportional relationship is a straight line passing through the?

Mathematics

2 answers:

Aneli [31]2 years ago

7 0

Through the origin (0,0)

puteri [66]2 years ago

4 0

Answer:

Origin

Step-by-step explanation:

Here you go~

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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

2 years ago

X Combine like terms: 10k - 2k + 7s2 - 32

Free_Kalibri [48]

Answer:

$7s^{2}$ + 8k - 32

4 0

2 years ago

A teacher is giving her students a lesson on inequalities and asks the class to suggest points that are included in the solution

Slav-nsk [51]

Neither of the students are correct

8 0

2 years ago

Which graph represents the function of f(x) = 9x 2 -36/3x+6 Please help

UkoKoshka [18]

The function is:

         (9x^2 - 36)
f(x) = ---------------------
                3x + 6

You can simplify that function to a linear function for all x for which 3x + 6 ≠ 0

=> x ≠ - 2.

So, for x ≠ - 2, you can do:

         (9x^2 - 36)
f(x) = --------------------- =
               3x + 6

          9(x^2 - 4)
f(x) = ---------------------
                3(x + 2)

         3(x + 2)(x - 2)
f(x) = --------------------- = 3(x - 2) = 3x - 6
                 (x + 2)

So, the graph is a right line that intercepts the y-axis at - 6 and the x-axis at x = 2, excluding x = -2 as the function is not defined for x = -2. That is the second graph of the second picture.

6 0

2 years ago

the scale on a map is stated as 1 : 250000 2 villages are 9 m apart on the map how far from each other are the two villages in k

Sergio039 [100]

Answer:

2,250,000 km

Step-by-step explanation:

From the above question our scale is given as:

1 m : 250000km

We are trying to find the distance between two villages which is 9m apart in kilometers

Hence

1 m : 250000km

= 1 m = 250000km

9m = x km

Cross Multiply

x km = 9 × 250,000km

x km = 2,250,000 km

8 0

3 years ago

The graph of a proportional relationship is a straight line passing through the?​

The graph of a proportional relationship is a straight line passing through the?