Slope point form:
We need the slope "m" and a point (x₀,y₀)
y-y₀=m(x-x₀)
1)
we calculate the slope "m".
Given two points:
(x₁,y₁)
(x₂,y₂)
the slope "m" is:
m=(y₂-y₁) / (x₂-x₁)
In this case:
(4,10)
(6,11)
m=(11-10) / (6-4)=1/2
Now, we calculate the solpe point form.
(4,10)
m=1/2
y-y₀=m(x-x₀)
y-10=(1/2)(x-4)
we make the standard form
y-10=x/2 - 2
Lowest common multiple=2
2y-20=x-4
-x+2y=-4+20
-x+2y=16
Answer: -x+2y=16
Answer: 23.80
Step-by-step explanation:
Answer:
Casey Bought 6 bags of chips
Step-by-step explanation:
If each sandwich costs 3 times the amount of a bag of chips and the sandwich is 6 dollars, the chips are 2 dollars. Casey bought 5 sandwiches and spent $30 dollars on sandwiches. Since the total was $42 dollars you have $12 dollars left to get your total of $42. 2x6 = 12 so therefore Casey bought 6 bags of chips.
Answer:
The volume of the similar prism is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x----> the volume of the larger prism
y----> the volume of the smaller prism
so

In this problem we have
-----> the scale factor

substitute and solve for x

9514 1404 393
Answer:

Step-by-step explanation:
The slope of a line is the same everywhere, so an equation can be written making use of that fact.

Cross-multiplying gives ...
2(y -5) = x -2
2y -10 = x -2 . . . eliminate parentheses
2y = x +8 . . . . . . . add 10; next, divide by 2

__
These equations match choices B and D.