List the integers from least to greatest: -22 , 0, 7 , -5, 3, -6, 10

You need at least $635 to go on a trip to Washington, DC. You already have $75 saved for the trip. You decide to save an additio

balandron [24]

75+65w is greater than or equal to (>_) 365

4 0

3 years ago

Read 2 more answers

Could someone explian to me how to do these two? i’m not sure if i’m doing it right plz help

omeli [17]

Step-by-step explanation:

Before I discuss how to graph both equations, I believe that it is essential to understand the variables and constant related to linear equations.

The slope-intercept form is: y = mx + b, where:

m = slope (which tells you the steepness of the line).

b = y-intercept: this is the point on the graph where it crosses the y-axis. Its coordinates is always formatted as, (0, b). The b is the y-coordinate of the y-intercept that you use for the equation.

The standard form of linear equations is: Ax + By = C, where:

A, B, C are integers (whole numbers, and cannot be in fraction or decimal forms). A and B ≠ 0, and A must be a positive integer.

Now that I have defined what the slope-intercept and standard form of linear equations are, we can proceed with working on graphing both equations.

In this equation, the slope (m) = -6, and the y-intercept (b) = -4. As an ordered pair, the y-intercept is (0, -4). In order to graph this equation, start by plotting the y-intercept on the graph. Then, use the slope (rise over run) to plot other points on the graph (6 units down, 1 unit run). Your next point should occur at (1, -10).

You could simply connect these two points and draw a line, or plot another point on the graph using the slope technique mentioned in this post.

This equation is in standard form, Ax + By = C. It is easier to graph a linear equation when it is in its slope-intercept form, y = mx + b.

In order to transform this equation into its slope-intercept form, start by subtracting 3x from both sides of the equation:

3x - 4y = 12

3x - 3x - 4y = - 3x + 12

-4y = -3x + 12

Next, divide both sides by -4 to isolate y:

$\frac{-4y}{-4} = \frac{-3x + 12}{-4}$

y = ¾x - 3 ⇒ This is the slope-intercept form where the slope, m = ¾, and the y-intercept is b = -3.

Similar to how we graphed the equation from question 7, start by plotting the y-intercept, (0, -3). Then, use the slope of the equation, m = ¾ (3 units rise, 4 units run) to plot the next point. The next point should occur at (0, 4).

Attached are the graphed equations.

7 0

3 years ago

How to find the 'direct proportion' in a graph?

Sergio039 [100]

Direct Proportion and The Straight Line Graph

Back Forces Physics Mathematics Contents Index Home

Straight line graphs that go through the origin, like the one immediately below, show that the quantities on the graph are in direct proportion. This graph states, therefore, that A is directly proportional to B. It also states that B is directly proportional to A, but we are going to work with the statement 'A is directly proportional to B'.

For the above graph:

This is how you write a direct proportion. The symbol in the middle is the Greek letter alpha.

It reads: A is directly proportional to B.

It means: By whatever factor A changes, B changes by the same factor.

So, let's look at the graph and see if by whatever factor A changes, B changes by the same factor.

This is what we are looking for, as we go from 'sub 1' to 'sub 2':

About the factor changes:

Below is an example of a point on this graph. The point is (B1, A1) and it has coordinates (1, 1).

For the above graph:

Coordinate for B1.

Coordinate for A1.

We will check for this shape of a graph if we change A by some factor, does B truly change by the same factor, thus showing that this straight line through the origin represents a direct proportion. In the graph below we change the quantity A by a factor of 3; that is, we triple it.

For the above graph:

Coordinates for (B1, A1).

Coordinates for (B2, A2).

Going from 'sub 1' to 'sub 2', A changes by a factor of 3. That is, A1 times a factor of 3 equals A2.

Going from 'sub 1' to 'sub 2', B also changes by a factor of 3. Likewise, B1 times a factor of 3 equals B2.

Both A and B change by the same factor. That factor is 3.

Therefore, A is directly proportional to B.

Again, the picture:

Let's try this below again for another point using the same graph. Here's the picture:

These steps show the factor changes:

For the above graph:

Coordinates for (B1, A1).

Coordinates for (B2, A2).

Going from 'sub 1' to 'sub 2', A changes by a factor of 4.

Going from 'sub 1' to 'sub 2', B also changes by a factor of 4.

Both A and B change by the same factor. That factor is 4.

Therefore, A is directly proportional to B.

Again:

This straight line graph really tells two stories. If you can say that A is directly proportional to B, then you can state that B is directly proportional to A. The above works out the same.

The function in the graph used here is:

Or, using formal function definition writing:

Lastly:

If someone says, 'A is proportional to B', they most assuredly mean, 'A is directly proportional to B'. Some might feel that the constant inclusion of the word 'direct' is unnecessary. It does, though, get to exactly what you are talking about, because there are other types of proportions

4 0

3 years ago

Instructions: Find the equation of the line through point (−4,1) and parallel to y=−12x−2. Use a forward slash (i.e. "/") for fr

USPshnik [31]

Answer:

y = - 12x - 47

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 12x - 2 ← is in slope- intercept form

with slope m = - 12

Parallel lines have equal slopes, thus