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SSSSS [86.1K]
3 years ago
5

What is the equation in standard form for (0,3) and (7,0)

Mathematics
1 answer:
Luden [163]3 years ago
3 0

Answer:

3x + 7y = 21

Step-by-step explanation:

We have value of two points (0,3) and (7,0)

First, let's find the slope of this line. The formula for slope is:

Change in y/Change in x or (y₂ - y₁)/(x₂-x₁)

Where x₁ = 0 x₂= 7 y₁ = 3 y₂ = 0

(y₂ - y₁)/(x₂-x₁)

= (0-3)/(7-0)

=-3/7

Now we can write the equation in point-slope form:

y-y₁ = m(x-x₁)

y - 3 = -3/7(x-0)

y-3=-3x/7

y=-3x/7 + 3

Now let's convert this to standard form, by making the y-intercept by itself:

Ax + By = C

y=-3x/7 + 3

Multiply through by 7

7(y) = 7(-3x/7) + 7(3)

7y = -3x + 21

3x + 7y = 21

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What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=−3+|x|?
crimeas [40]

Answer:

vertical translation of 3 units down

Step-by-step explanation:

we have

f\left(x\right)=\left|x\right| ----> the parent function

The vertex of f(x) is the point (0,0)

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The vertex  of g(x) is the point (0,-3)

so

The rule of the translation is

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That means ---> The translation is 3 units down

see the attached figure to better understand the problem

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What is the value of the 5 in the number 2.005?<br> 0.05<br> 0.5<br> 0.005<br> 5
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Answer:

0.005

Step-by-step explanation:

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Two positive integers are 3 units apart on a number line. Their product is 108. Which equation can be used to solve for m, the g
nikitadnepr [17]
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Final Answer: m(m-3) = 108
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