Answer:
y = x - 1 (third answer choice)
Step-by-step explanation:
From the given we see immediately that the slope of this line is -1. The slope of a line perpendicular to this one is +1, which is the negative reciprocal of -1. The slope-intercept form is y = mx + b. To find b, the y-intercept, we make the following substitutions: m = -1, y = -2, x = -2:
-2 = +1(-2) + b, or +1 = 2 + b, or b = -1
and so the desired equation is y = x - 1 (third answer choice)
Answer:
The given point A (6,13) lies on the equation. True
The given point B(21,33) lies on the equation. True
The given point C (99, 137) lies on the equation. True
Step-by-step explanation:
Here, the given equation is : 
Now,check the given equation for the given points.
1) A (6,13)
Substitute x = 6 in the given equation

⇒ y= 13
Hence, the given point A (6,13) lies on the equation.
2) B (21,33)
Substitute x = 21 in the given equation

⇒ y = 33
Hence, the given point B(21,33) lies on the equation.
3) C (99, 137)
Substitute x = 99 in the given equation

⇒ y = 137
Hence, the given point C (99, 137) lies on the equation.
The answer is 456
This the answer 456
Answer:
9 bottles of soda and 7 bottles of juice
Step-by-step explanation:
Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.
1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.
Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.
In total, there are 35x+10y g of sugar.
All bottles collectively contain 385 grams of sugar, thus

3. Solve the system of two equations:

Substitute the first equation into the second equation:
