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3 years ago

What is the relationship between the solution of an equation in two variables and its graph?

1 answer:

meriva3 years ago

8 0

<span>A relationship that occurs when variable quantities are directly proportional to one another. A linear relationship can be represented on a graph as a STRAIGHT LINE.

Linear relationships always follow the formula:

y=mx+b

where y is the value of the y-coordinate,
where my is the slope of the line,
where x is the value of the x-coordinate,
and b is the y-intercept</span>

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BRAINLY Ez 4 & 5 if possible formula is (4/3)(/pi)(R)^3

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2 years ago

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3 years ago

Please answer the correct answer I will give brainliest. Use the graph to write a linear function that relates y to x. y=

Mumz [18]

Answer:

y = 3

Step-by-step explanation:

We need to find the slope. We do so by choosing any two points and dividing the change in the y-coordinates (their difference) by the change in the x-coordinates (their difference). Let's just choose (1, 3) and (0, 3). The slope is: . So, the slope is 0.

We want to write a line in slope-intercept form, which is: y = mx + b, where m is the slope and b is the y-intercept (where the line crosses the y-axis). Here, the slope m = 0. Looking at the graph, we see that the y-intercept is (0, 3), so b = 3. Then, our line is: y = 0x + 3 ⇒ y = 3.

Another note is that this is a horizontal line. One thing to remember is that all horizontal lines have slopes of 0, so their function is simply y = k, where k is a constant through which the line cuts through.

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3 years ago

The table below represents a linear function f(x) and the equation represents a function g(x):

Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

$\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}$

$g(x) = 3x - 2$

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

$m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

This gives:

$m = \frac{f(0) - f(1)}{0 - 1}$

$m = \frac{f(0) - f(1)}{- 1}$

Substitute values for f(0) and f(1)

$m = \frac{-1 - 7}{- 1}$

$m = \frac{-8}{- 1}$

$m = 8$

The slope of g(x) can be gotten using the following comparison

$g(x) = mx + b$

$m \to slope$

So:

$g(x) = 3x -2$

$m = 3$

$m_{f(x)} > m_{g(x)}$

Solving (b): Compare the y intercept

y intercept is when $x = 0$

From the table of f(x)

$f(0) = -1$

From the equation of g(x)

$g(x) = 3x -2$

$g(0) = 3*0-2$

$g(0) =-2$

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2 years ago

A rotation is a transformation where an object

prohojiy [21]

Rotation is a transformation where an object is rotated about a fixed point.

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

<em>Translation, reflection and rotation</em> are rigid transformations because they preserve the shape and size of the figure.

Rotation is a transformation where an object is rotated about a fixed point.

Find out more on transformation at: brainly.com/question/4289712

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1 year ago