What is the equation of the line described below written in slope-intercept form? the line passing through point (0, 0) and parallel to the line whose equation is 3x + 2y - 6 = 0 y =-2/3 -x y =-3/2x y = 3/2x

Answers

Answer 1

Answer: Since the line in question is parallel to the line with the equation 3x+2y-6=0, it can be said that they have the same slope. To find the slope of the line with the given equation, transform the given equation to its corresponding slope-intercept form. Hence, the equation is now

y=(-3/2)x+3

the slope is then -3/2

and since the line in question passes through the origin, the equation of this line is then

y=(-3/2)x+0
or simply
y=(-3/2)x

Answer 2

Answer:

Answer:

y=(-3/2)x

Step-by-step explanation:

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Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table.

Answers

Remember that a quadratic with two real zeroes can be written as $a(x - r_1)(x - r_2)$ , where $a$ is a constant and $r_1$ and $r_2$ are the zeroes (or roots) of the function. Since the graph shows that the two zeroes are at -6 and 6, the equation has to be of the form

$y = a(x - ({-6}))(x - 6)$ , or
$y = a(x + 6)(x - 6)$

To solve for a, let's use the point at the vertex (0, 36) and plug that in:

$36 = a(0 + 6)(0 - 6)$
$36 = {-36}a$
$a = {-1}$
(It makes sense that $a$ is negative since the parabola opens down.)

So, the equation of the parabola is

$y = -(x + 6)(x - 6)$ , or
$\bf y = -x^2 + 36$

Now for the second part, just pick any two points with which we can draw a line with a positive slope. I'll use x = -2 and 1:

$y = -({-2})^2 + 36 = {-4} + 36 = 32$
$y = -(1)^2 + 36 = {-1} + 36 = 35$

So, our two points are (-2, 32) and (1, 35). To find the equation of the linear function that goes through these two points, let's use slope-intercept form, which is $f(x) = mx + b$ . The slope $m$ is given by $(y_2 - y_1)/(x_2 - x_1)$ , so

$m = (y_2 - y_1)/(x_2 - x_1) = \frac{35 - 32}{1 - ({-2})} = 1$
So, the equation of the linear function so far is just $f(x) = x + b$ , and we can find $b$ by plugging in one of the points on the line:

$35 = 1 + b$
$b = 34$

Thus, the equation of the linear function is

$\bf f(x) = x + 34$

And you can find more points on the line simply by plugging other values of x, such as (0, 34) and (5, 39).

Write a fraction that is a multiple of 4/5.

Answers

so if we assume that the ending fraction has to be equal to the origonal fraction then we multiply it by 1 or x/x where x=x

so 4/5 times 2/2=8/10
4/5 times 3/3=12/15
and so on

Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and (–12, –9). He writes the equation 7x – 10y = 3. Is this a good model? Explain your reasoning.

Answers

For this case we have the following equation:
$7x - 10y = 3$
From here, we must substitute ordered pairs of the form:
(x, y)
If the ordered pair satisfies the equation, then it belongs to the line.
We have then:

For (8, 5):
We substitute the following values:
$x = 8 y = 5 7 (8) - 10 (5) = 3 56 - 50 = 3 6 = 3$
We observe that the equation is not satisfied and therefore, this point does not belong to the line.
Since one of the points does not belong to the line, then the equation is not a good model.

Answer:
It is not a good model. One of the points does not belong to the line.

Solve the equation -12 = f/0.2 (Thats a fraction)

Answers

-12 = f/0.2

First, we can start out by making our goal to get the variable (f) on one side of the problem by itself. To do this, multiply both sides by 0.2.
$-12 * 0.2 = f$

Second, our next step is to multiply -12 times 0.2. This can be solved in your head, on a piece of paper, on a calculator, etc. (-12 times 0.2 = 2.4).
$-2.4 = f$

Third, our last step will be to switch sides. Basically flip the problem.
$f = -2.4$

Answer: $\fbox {x = -2.4}$

The measures of two base angles of an isosceles trapezoid are 7x – 12 and 5x + 6. What is the measure of x?Select one:
a. 3
b. 5
c. 7
d. 9