<h3>
Answer:</h3>
B. 3x +y = 4
<h3>
Step-by-step explanation:</h3>
It is perhaps easiest to simply try the equations to see which one works.
For x=0, there are two different kinds of answers:
... A and C: -y = 4
... B and D: y = 4
Since we know y=4 when x=0 (from the point (0, 4)), we can eliminate choices A and C.
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Using the point (1, 1), you can try choices B and D to see which works:
... B: 3·1 +1 = 4 . . . . true (put 1 where x and y are in the equation)
... D: -3·1 +1 = -2 = 4 . . . . false
The appropriate choice is the equation of B: 3x +y = 4.
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<em>Derive the equation from the given points</em>
There are several ways you can derive the equation. Since you have the y-intercept (the point with x=0), you can use the slope-intercept form to start.
The slope (m) is ...
... m = (change in y)/(change in x) = (4 -1)/(0 -1)
... m = -3
We know the y-intercept (b) is 4, so the slope-intercept form of the equation is ...
... y = mx +b
... y = -3x +4
Adding 3x puts this in standard form:
... 3x +y = 4
Answer:
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The slope of the line is 1. To find slope use the formula 
, this calculates the change in y over the change in x. So plug in the known values 
, this equals 3/3 or 1. This means every time y increases by 1, x will also increase by 1.
Answer:
A) 12 toppings.
Step-by-step explanation:
That would be the answer if there are no combinations of toppings.
You would simply take the number of sizes (3) and the number of toppings (4) and multiply them together to get 12 combinations.
Answer:
(A) h(x) = 1/4x -2
Step-by-step explanation:
Given: f(x)=4x+8
Rewrite with y: y=4x+8
Switch x and y: x=4y+8
Solve for y: x-8=4y
(x-8)/4=y
1/4x-2=y
y=1/4x-2
This means that h(x) = 1/4x -2 is the correct answer
