The lines are parallel.
In order to figure this out, let's start off by simplifying both equations as much as we can:
2y = 16 + 4x
Divide by 2
y = 2x + 8
Remember that the slope of that equation is '2' since 'm' in the equation y = mx + b represents slope.
Simplify the next equation:
6y - 30 = 12 x
6y = 12x + 30
Divide by 6:
y = 2x + 5
As you can tell, this line also has a slope of 2.
Parallel lines is defined as two lines that have the same slope. Knowing this, we can infer that these two lines are parallel.
-T.B.
-6(3x + 1) I’m sure this is it
Answer:
x = 6, y = 3
Step-by-step explanation:
Let Sally's age be x and Tomas's age be y.
Sum of Sally's age plus twice Tomas's age: x + 2y = 12
Difference of Sally's age and Tomas's age: x - y = 3
Multiply the second equation by two and add it to the first equation to get
3x = 18, which means x = 6.
Plug 6 in for x in the second equation to get 6 - y = 3, which means y = 3.
Answer:
point-slope form
(standard form)
Let me know if you prefer another form.
Step-by-step explanation:
The slope of a line can be found using 
provided you are given two points on the line.
We are.
Now you can use that formula. But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.
(4/5 , 1/5)
-( 1/2 , 3/2)
-----------------
3/10 -13/10
2nd/1st = 
is our slope.
So the following is point-slope form for a linear equaiton:
Plug in a point 
.
This gives:
I'm going to distribute:
Now I don't like these fractions so I'm going to multiply both sides by the least common multiply of 2,3, and 6 which is 6:
Add 26x on both sides:
Add 9 on both sides:
This is actually standard form of a line.
It can be simplified though.
Divide both sides by 2:
(standard form)
