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1 year ago

What is the equation of the following line? Be sure to scroll down first to see

Mathematics

1 answer:

8_murik_8 [283]1 year ago

5 0

The required equation of the line is 5y=x.

We are given to find the equation of the line passing through the points (0, 0) and (15, 3).

We know that

<h3>What is the slope point form of the line?</h3>

The equation of a line passing through two points (a, b) and (c, d) is given by

$y-b=\frac{d-b}{c-a}(x-a)$

Therefore, the equation of the line passing through the points (0, 0) and (15, 3) is given by,

Thus, the required equation of the line is

$y-0=\frac{3-0}{15-0}(x-0)\\y=\frac{3}{15}x\\ y=\frac{1}{5}x\\ 5y=x$

Thus the required equation of the line is 5y=x.

To learn more about the equation of the line visit:

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2 years ago

Given h(x) = -x + 2, find h(2)

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3 years ago

Why is 3 x 1/10 less than 3 x 10

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Answer:

Why is 3 x 1/10 less than 3 x 10

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Step-by-step explanation:

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2 years ago

H(x) = x3 + 7<br> Determine whether the function is one-to-one.

zubka84 [21]

Answer:

we conclude that the function is one-to-one.

Step-by-step explanation:

A function will a one-to-one function if it

passes the vertical line test to make sure it is indeed a function, and

also a horizontal line test to make sure it is it one-to-one.

In other words,

The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.

The reason is that there must be only one x-value for each y-value.

Given the function

$h\left(x\right)\:=\:x^3\:+\:7$

Have a look at the attached graph.

The red portion represents the graph of the function $h\left(x\right)\:=\:x^3\:+\:7$ .

The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that $h\left(x\right)\:=\:x^3\:+\:7$ is indeed a function.

The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that $h\left(x\right)\:=\:x^3\:+\:7$ is a one-to-one function, as there is only one x-value for each y-value.

Therefore, we conclude that the function is one-to-one.

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3 years ago