Let's say for example you wanted to graph the linear equation 
At minimum, we'll need 2 points to form this line.
To get any point of the form (x,y), we plug in a number for x to find a corresponding number for y.
For example, replace x with 0 to find that...

Therefore, x = 0 leads to y = 5. So the point (0,5) is on the line.
Then we repeat this process for other x values. Let's try x = 1

Telling us that (1,7) is also on this line. We have enough to graph this equation. Plot the two points (0,5) and (1,7). Then draw a straight line through them. Extend this line as far as you can to the left and right. The graph is shown below.
We can keep going to get other points like (2,9) and (3,11) and (4,13) and so on. A table is a way to keep track of the xy values.

Each time x goes up by 1, y goes up by 2. This directly ties to the slope of 2/1 = 2.
Answer:
Dimensions : L = 12 inches, Width = 2 inches
Step-by-step explanation:
Let width be w
Let length be w + 10
Area = length x width
24 = w x (w + 10)

Since width is a side of a rectangle , it cannot be negative. so w = 2 inches .
Therefore , length = w + 10 = 12inches
Answer: Inconsistent.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
Solve for "y" in each equation:
<em>Equation 1</em>

<em>Equation 2</em>
<em>
</em>
<em> </em>
You can notice that the slope of the <em>Equation 1 </em>is:

And the slope of the <em>Equation 2 </em>is:
Observev that
, then you can conclude that the lines are parallel and the System of equations has No solution.
When there is no solution the classification of the system of equations is: "Inconsistent".
<em> </em>
Answer:
10,38,43
Step-by-step explanation:
n+4n-2+5n-7=91
10n=91+2+7
10n=100
n=10
4(10)-2=38
5(10)-7=43
if anything is unclear, ask freely.