First of all, to find the slope, you need to subtract the y's in the numerator over the x's in the denominator. Then you use Y-Y₁=slope(X-X₁) using either of the two points. If you want to simplify it further into slope-intercept form, you need to distribute on the right side of the equation.
2x-4(x+1)=-13
1) we solve this equation:
2x-4(x+1)=-12
2x-4x-4=-12
-2x=-12+4
-2x=-8
x=-8/-2
x=4
2) we evalute x²-1
x²-1=4²-1=16-1=15
Answer: 15
Answer:

Step-by-step explanation:
<u>Graphs</u>
The graph shows the amount of water in gallons as a function of time in seconds.
We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.
Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.
Using the point (0,0):

It follows that b=0
The equation now takes the form:

Using the point (12,5):

We find m:

The final equation is:

Substituting t=1:

The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:

First, do 272 + 38 = 310
Secondly, do 310 - 89 = 231
Third, do 231 ÷ 9 = 25
The most number of beeds she can have is 25