Answer:
belongs to the line 
. Please see attachment below to know the graph of the line.
Step-by-step explanation:
From Analytical Geometry we know that a line is represented by this formula:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that 
, 
and 
, then we clear slope and solve the resulting expression:
Then, we conclude that point belongs to the line , whose graph is presented below.
Answer:
Proportion states that the two fractions or ratios are equal
As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96
Let the tank size now be x
Since, the gas tank expanded by 10 gallons = x + 10
by definition of proportion ;
by cross multiply we get;
using distributive property;
Subtract 42.56x from both sides we get;
Divide both sides by 30.4 we get;
x = 14
Therefore, the tank is her now is, 14 gallons
Answer:
y = 3
Step-by-step explanation:
We need to find the slope. We do so by choosing any two points and dividing the change in the y-coordinates (their difference) by the change in the x-coordinates (their difference). Let's just choose (1, 3) and (0, 3). The slope is: . So, the slope is 0.
We want to write a line in slope-intercept form, which is: y = mx + b, where m is the slope and b is the y-intercept (where the line crosses the y-axis). Here, the slope m = 0. Looking at the graph, we see that the y-intercept is (0, 3), so b = 3. Then, our line is: y = 0x + 3 ⇒ y = 3.
Another note is that this is a horizontal line. One thing to remember is that all horizontal lines have slopes of 0, so their function is simply y = k, where k is a constant through which the line cuts through.
To round to the nearest hundredth is 42.66
