Answer:
y = 2x + 10
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 )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (- 3, 4) into the partial equation
4 = - 6 + c ⇒ c = 4 + 6 = 10
y = 2x + 10 ← equation of line
Let's call the width of our rectangle 
and the length 
. We can say 
, since the length is equal to 4 cm greater than the width.
Also remember that the perimeter of a rectangle is the sum of two times the width and two times the length, or 
. To solve this problem, we can substitute in the information we know, as shown below:
Now, we can substitute in the width we found into the formula for length, which is :
The width of our rectangle is 
cm and the length of our rectangle is 
Answer:
$200
Step-by-step explanation:
Let X be the amount of Christmas money he had at the beginning.
He put 65% of X in the bank. This is 0.65x
He has $70 left which is equal to 0.35x
We need to write an equation to find the value of x.
70 = 0.35x
Divide by 0.35 to find the value of x.
70/0.35 = 0.35x/0.35
200 = x
He received $200 for Christmas.
