The slope-intercept equation is y=mx+b.
The slope formula is 
Our three points are (5,5), (-5,-7) and (0,-1)
Using our slope formula our slope becomes 
Then, if we use one of our points (pick whichever you want, although (0,1) is the easiest) to solve the equation. So, 
. When we solve for x and y, we get -1=0+b, or b=-1.
When we plug that back into the equation, we get.
Answer:
Step-by-step explanation:
Let the larger number = x
Let the smaller number = y
x = 2*y + 8
x * y = 234 Put the first equation into the second.
(2y + 8)*y = 234 Remove the brackets
2y^2 + 8y = 234 Subtract 234 from both sides
2y^2 + 8y - 234 =0 Factor out 2
2(y^2 + 4y - 117) = 0 Divide by 2
y^2 + 4y - 117 = 0
(y + 13)(y - 9)
y = 9 is one answer
x * y = 234
x * 9 = 234 Divide by 9
x = 234/9
x = 26
The two numbers are 9 and 26
Answer: y=0 and x=3
Step 1: Solve for x in 2x+9y=6.
(Subtract 9y from both sides)
( Divide both sides by 2)
Step 2: Replace x with 3-4.5y
Step 3: Solve for y
(By looking at this, we can determine that y=0)
Step 4: Replace y with 0
(Divide both sides 2)
Therefore, y=0 and x=3
Okay so for this one, we have to isolate our X.Lets start by moving the negative 5 on the other side of the equal sign. Remember to not mix a number that is with an X with a normal number (in this case it would be the -3x and the -5). So in putting our -5 on the other sign it becomes positive. Here’s what we have: x^2-3x=5. x^2 is the same thing as 2x.So now you have to minus 3x off of your 2x. This gives us -1x, but can just be put as -x. So now we have -x=5. You’re answer could either be 5 or -5 if you decided to divide it by -1 seeing as your -x is technically -1.
